2518:
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317:
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1925:
1708:
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1835:
2407:
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1086:
71:
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2001:
1731:
173:
351:
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374:
97:
2070:
2027:
397:
140:
120:
2583:
2233:
1141:
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2215:
1113:
2191:
752:
747:
579:
1460:
1402:
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1301:
740:
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2083:
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2063:
942:
725:
2442:
860:
703:
1171:
420:
2576:
2087:
1390:
1326:
877:
1385:
1064:
843:
1156:
2238:
1423:
1201:
1146:
524:
2294:
979:
2521:
2243:
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2056:
1258:
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1208:
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1103:
648:
100:
2258:
1186:
1596:
572:
2503:
2263:
1955:
1757:
1126:
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806:
408:
178:
1890:
2569:
2457:
2381:
1419:
1233:
1218:
1016:
989:
954:
699:
2498:
1713:
1363:
1181:
2314:
1407:
1380:
1026:
695:
2248:
1930:
1223:
1213:
1131:
2350:
2151:
1664:
1069:
996:
950:
865:
690:
2223:
1196:
1136:
1761:
2447:
2607:
2478:
2422:
2386:
1238:
1151:
932:
848:
684:
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565:
2549:
2022:
2017:
1492:
1440:
1397:
1321:
1274:
1011:
673:
640:
613:
324:
1311:
2461:
1960:
1813:
1166:
1161:
872:
756:
662:
2427:
2365:
2079:
1604:
1561:
1375:
1098:
828:
635:
50:
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1948:
1852:
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1964:
379:
Importantly, this theorem fails for complex Banach spaces. However, for the special case where
145:
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443: – On strongly convergent combinations of a weakly convergent sequence in a Banach space
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1021:
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657:
399:
is the closed unit ball then this theorem does hold for complex Banach spaces.
2345:
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816:
312:{\displaystyle \left\{f\in X^{*}:f{\text{ attains its supremum on }}B\right\}}
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821:
785:
414:
320:
2541:
423: – Relates three different kinds of weak compactness in a Banach space
1879:
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1481: ((cs, lcs)-closed, (cs, bcs)-complete, (lower) ideally convex, (H
730:
538:
519:
557:
520:"A counterexample to the Bishop-Phelps theorem in complex spaces"
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1967:
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Pages displaying wikidata descriptions as a fallback
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2408:Spectral theory of ordinary differential equations
1995:
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473:"A proof that every Banach space is subreflexive"
20:is a theorem about the topological properties of
215:
510:
508:
255:{\displaystyle |f(b_{0})|=\sup _{b\in B}|f(b)|}
1920:{\displaystyle S\left(\mathbb {R} ^{n}\right)}
73:be a bounded, closed, convex subset of a real
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2064:
2028:Mathematical formulation of quantum mechanics
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477:Bulletin of the American Mathematical Society
8:
417: – Measurement on a normed vector space
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1703:{\displaystyle B_{p,q}^{s}(\mathbb {R} )}
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2361:Group algebra of a locally compact group
1793:{\displaystyle L^{\lambda ,p}(\Omega )}
453:
2033:Ordinary Differential Equations (ODEs)
1147:Banach–Steinhaus (Uniform boundedness)
411: – Theorem in functional analysis
7:
2538:
2536:
298: attains its supremum on
32:, who published its proof in 1961.
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1822:
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1628:
14:
1525:Subsets / set operations
1302:Differentiation in Fréchet spaces
2540:
2517:
2516:
2443:Topological quantum field theory
142:(meaning that there exists some
2613:Theorems in functional analysis
1830:{\displaystyle \ell ^{\infty }}
490:10.1090/s0002-9904-1961-10514-4
122:that achieve their supremum on
1990:
1971:
1787:
1781:
1697:
1689:
1631:
1625:
1219:Lomonosov's invariant subspace
1142:Banach–Schauder (open mapping)
429: – theorem in mathematics
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244:
238:
231:
207:
203:
190:
183:
1:
2239:Uniform boundedness principle
525:Israel Journal of Mathematics
101:continuous linear functionals
2556:. You can help Knowledge by
1104:Singular value decomposition
66:{\displaystyle B\subseteq X}
2603:Mathematical analysis stubs
1869:{\displaystyle L^{\infty }}
1637:{\displaystyle ba(\Sigma )}
1506:Radially convex/Star-shaped
2629:
2535:
2382:Invariant subspace problem
1996:{\displaystyle W(X,L^{p})}
168:{\displaystyle b_{0}\in B}
2512:
2102:
1542:Algebraic interior (core)
1157:Cauchy–Schwarz inequality
800:Function space Topologies
2351:Spectrum of a C*-algebra
421:Eberlein–Šmulian theorem
2448:Noncommutative geometry
2552:–related article is a
2504:Tomita–Takesaki theory
2479:Approximation property
2423:Calculus of variations
1997:
1921:
1870:
1831:
1794:
1704:
1638:
807:Banach–Mazur compactum
597:Types of Banach spaces
409:Banach–Alaoglu theorem
393:
370:
347:
313:
256:
169:
136:
116:
93:
67:
2550:mathematical analysis
2499:Banach–Mazur distance
2462:Generalized functions
2023:Finite element method
2018:Differential operator
1998:
1922:
1871:
1832:
1795:
1705:
1639:
1479:Convex series related
1275:Abstract Wiener space
1202:hyperplane separation
757:Minkowski functionals
641:Polarization identity
394:
371:
348:
346:{\displaystyle X^{*}}
325:continuous dual space
314:
257:
170:
137:
117:
94:
68:
42:Bishop–Phelps theorem
18:Bishop–Phelps theorem
2244:Kakutani fixed-point
2229:Riesz representation
1965:
1891:
1853:
1814:
1762:
1665:
1616:
1605:Absolute continuity
1259:Schauder fixed-point
1249:Riesz representation
1209:Kakutani fixed-point
1177:Freudenthal spectral
663:L-semi-inner product
383:
357:
330:
266:
179:
146:
126:
106:
99:Then the set of all
80:
51:
16:In mathematics, the
2428:Functional calculus
2387:Mahler's conjecture
2366:Von Neumann algebra
2080:Functional analysis
1688:
1426:measurable function
1376:Functional calculus
1239:Parseval's identity
1152:Bessel's inequality
1099:Polar decomposition
878:Uniform convergence
636:Inner product space
45: —
2453:Riemann hypothesis
2152:Topological vector
2038:Validated numerics
1993:
1949:Sobolev inequality
1917:
1866:
1827:
1790:
1719:Bounded variation
1700:
1668:
1653:Banach coordinate
1634:
1572:Minkowski addition
1234:M. Riesz extension
714:Banach spaces are:
539:10.1007/bf02810578
389:
369:{\displaystyle X.}
366:
343:
309:
252:
229:
165:
132:
112:
92:{\displaystyle X.}
89:
63:
43:
2565:
2564:
2530:
2529:
2433:Integral operator
2210:
2209:
2046:
2045:
1758:Morrey–Campanato
1740:compact Hausdorff
1587:Relative interior
1441:Absolutely convex
1408:Projection-valued
1017:Strictly singular
943:on Hilbert spaces
704:of Hilbert spaces
516:Lomonosov, Victor
436:Goldstine theorem
392:{\displaystyle B}
299:
214:
135:{\displaystyle B}
115:{\displaystyle f}
2620:
2586:
2579:
2572:
2544:
2537:
2520:
2519:
2438:Jones polynomial
2356:Operator algebra
2100:
2073:
2066:
2059:
2050:
2002:
2000:
1999:
1994:
1989:
1988:
1956:Triebel–Lizorkin
1926:
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1911:
1906:
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1706:
1701:
1696:
1687:
1682:
1643:
1641:
1640:
1635:
1496:
1474:
1456:Balanced/Circled
1254:Robinson-Ursescu
1172:Eberlein–Šmulian
1092:Spectral theorem
888:Linear operators
685:Uniformly smooth
582:
575:
568:
559:
552:
551:
541:
512:
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492:
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121:
119:
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113:
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72:
70:
69:
64:
46:
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2472:Advanced topics
2467:
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2329:
2295:Hilbert–Schmidt
2268:
2259:Gelfand–Naimark
2206:
2156:
2091:
2077:
2047:
2042:
2006:
1980:
1963:
1962:
1961:Wiener amalgam
1931:Segal–Bargmann
1901:
1897:
1889:
1888:
1856:
1851:
1850:
1817:
1812:
1811:
1765:
1760:
1759:
1714:Birnbaum–Orlicz
1663:
1662:
1614:
1613:
1591:
1547:Bounding points
1520:
1494:
1472:
1429:
1280:Banach manifold
1263:
1187:Gelfand–Naimark
1108:
1082:Spectral theory
1050:Banach algebras
1042:Operator theory
1036:
997:Pseudo-monotone
980:Hilbert–Schmidt
960:Densely defined
882:
795:
709:
592:
586:
556:
555:
514:
513:
506:
463:
462:
455:
450:
430:
405:
381:
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377:
355:
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333:
328:
327:
280:
273:
269:
264:
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193:
177:
176:
149:
144:
143:
124:
123:
104:
103:
78:
77:
49:
48:
44:
38:
12:
11:
5:
2626:
2624:
2616:
2615:
2610:
2605:
2595:
2594:
2589:
2588:
2581:
2574:
2566:
2563:
2562:
2545:
2528:
2527:
2525:
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2513:
2510:
2509:
2507:
2506:
2501:
2496:
2491:
2489:Choquet theory
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2341:Banach algebra
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2302:
2297:
2292:
2287:
2282:
2276:
2274:
2270:
2269:
2267:
2266:
2264:Banach–Alaoglu
2261:
2256:
2251:
2246:
2241:
2236:
2231:
2226:
2220:
2218:
2212:
2211:
2208:
2207:
2205:
2204:
2199:
2194:
2192:Locally convex
2189:
2175:
2170:
2164:
2162:
2158:
2157:
2155:
2154:
2149:
2144:
2139:
2134:
2129:
2124:
2119:
2114:
2109:
2103:
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2078:
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2025:
2020:
2014:
2012:
2008:
2007:
2005:
2004:
1992:
1987:
1983:
1979:
1976:
1973:
1970:
1958:
1953:
1952:
1951:
1941:
1939:Sequence space
1936:
1928:
1915:
1910:
1905:
1900:
1896:
1884:
1883:
1882:
1877:
1863:
1859:
1840:
1839:
1838:
1824:
1820:
1801:
1789:
1786:
1783:
1778:
1775:
1772:
1768:
1755:
1747:
1742:
1729:
1724:
1716:
1711:
1699:
1695:
1691:
1686:
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1678:
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1671:
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1645:
1633:
1630:
1627:
1624:
1621:
1610:
1601:
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1593:
1592:
1590:
1589:
1579:
1574:
1569:
1564:
1559:
1554:
1549:
1544:
1534:
1528:
1526:
1522:
1521:
1519:
1518:
1513:
1508:
1503:
1498:
1490:
1476:
1468:
1463:
1458:
1453:
1448:
1443:
1437:
1435:
1431:
1430:
1428:
1427:
1417:
1416:
1415:
1410:
1405:
1395:
1394:
1393:
1388:
1383:
1373:
1372:
1371:
1366:
1361:
1356:
1354:Gelfand–Pettis
1351:
1346:
1336:
1335:
1334:
1329:
1324:
1319:
1314:
1304:
1299:
1294:
1289:
1288:
1287:
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1256:
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1241:
1236:
1231:
1226:
1221:
1216:
1211:
1206:
1205:
1204:
1194:
1189:
1184:
1179:
1174:
1169:
1164:
1159:
1154:
1149:
1144:
1139:
1134:
1129:
1127:Banach–Alaoglu
1124:
1122:Anderson–Kadec
1118:
1116:
1110:
1109:
1107:
1106:
1101:
1096:
1095:
1094:
1089:
1079:
1078:
1077:
1072:
1062:
1060:Operator space
1057:
1052:
1046:
1044:
1038:
1037:
1035:
1034:
1029:
1024:
1019:
1014:
1009:
1004:
999:
994:
993:
992:
982:
977:
976:
975:
970:
962:
957:
947:
946:
945:
935:
930:
920:
919:
918:
913:
908:
898:
892:
890:
884:
883:
881:
880:
875:
870:
869:
868:
863:
853:
852:
851:
846:
836:
831:
826:
825:
824:
814:
809:
803:
801:
797:
796:
794:
793:
788:
783:
782:
781:
771:
766:
761:
760:
759:
748:Locally convex
745:
744:
743:
733:
728:
723:
717:
715:
711:
710:
708:
707:
700:Tensor product
693:
687:
682:
676:
671:
665:
660:
655:
645:
644:
643:
638:
628:
623:
621:Banach lattice
618:
617:
616:
606:
600:
598:
594:
593:
587:
585:
584:
577:
570:
562:
554:
553:
504:
465:Bishop, Errett
452:
451:
449:
446:
445:
444:
438:
433:
427:James' theorem
424:
418:
412:
404:
401:
388:
365:
362:
340:
336:
323:-dense in the
307:
303:
295:
292:
287:
283:
279:
276:
272:
250:
246:
243:
240:
237:
233:
227:
224:
221:
217:
213:
209:
205:
200:
196:
192:
189:
185:
164:
161:
156:
152:
131:
111:
88:
85:
62:
59:
56:
39:
37:
34:
13:
10:
9:
6:
4:
3:
2:
2625:
2614:
2611:
2609:
2608:Banach spaces
2606:
2604:
2601:
2600:
2598:
2587:
2582:
2580:
2575:
2573:
2568:
2567:
2561:
2559:
2555:
2551:
2546:
2543:
2539:
2534:
2523:
2515:
2514:
2511:
2505:
2502:
2500:
2497:
2495:
2494:Weak topology
2492:
2490:
2487:
2485:
2482:
2480:
2477:
2476:
2474:
2470:
2463:
2459:
2456:
2454:
2451:
2449:
2446:
2444:
2441:
2439:
2436:
2434:
2431:
2429:
2426:
2424:
2421:
2419:
2418:Index theorem
2416:
2414:
2411:
2409:
2406:
2404:
2401:
2400:
2398:
2394:
2388:
2385:
2383:
2380:
2379:
2377:
2375:Open problems
2373:
2367:
2364:
2362:
2359:
2357:
2354:
2352:
2349:
2347:
2344:
2342:
2339:
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2332:
2326:
2323:
2321:
2318:
2316:
2313:
2311:
2308:
2306:
2303:
2301:
2298:
2296:
2293:
2291:
2288:
2286:
2283:
2281:
2278:
2277:
2275:
2271:
2265:
2262:
2260:
2257:
2255:
2252:
2250:
2247:
2245:
2242:
2240:
2237:
2235:
2232:
2230:
2227:
2225:
2222:
2221:
2219:
2217:
2213:
2203:
2200:
2198:
2195:
2193:
2190:
2187:
2183:
2179:
2176:
2174:
2171:
2169:
2166:
2165:
2163:
2159:
2153:
2150:
2148:
2145:
2143:
2140:
2138:
2135:
2133:
2130:
2128:
2125:
2123:
2120:
2118:
2115:
2113:
2110:
2108:
2105:
2104:
2101:
2098:
2094:
2089:
2085:
2081:
2074:
2069:
2067:
2062:
2060:
2055:
2054:
2051:
2039:
2036:
2034:
2031:
2029:
2026:
2024:
2021:
2019:
2016:
2015:
2013:
2009:
2003:
1985:
1981:
1977:
1974:
1968:
1959:
1957:
1954:
1950:
1947:
1946:
1945:
1942:
1940:
1937:
1935:
1934:
1929:
1927:
1913:
1908:
1898:
1894:
1885:
1881:
1878:
1876:
1857:
1848:
1847:
1846:
1845:
1841:
1837:
1818:
1809:
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1807:
1806:
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1800:
1776:
1773:
1770:
1766:
1756:
1754:
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1748:
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1741:
1739:
1735:
1730:
1728:
1725:
1723:
1722:
1717:
1715:
1712:
1710:
1684:
1679:
1676:
1673:
1669:
1659:
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1622:
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1611:
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1600:
1598:
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1588:
1584:
1580:
1578:
1575:
1573:
1570:
1568:
1565:
1563:
1560:
1558:
1557:Extreme point
1555:
1553:
1550:
1548:
1545:
1543:
1539:
1535:
1533:
1530:
1529:
1527:
1523:
1517:
1514:
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1509:
1507:
1504:
1502:
1499:
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1491:
1488:
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1480:
1477:
1475:
1469:
1467:
1464:
1462:
1459:
1457:
1454:
1452:
1449:
1447:
1444:
1442:
1439:
1438:
1436:
1434:Types of sets
1432:
1425:
1421:
1418:
1414:
1411:
1409:
1406:
1404:
1401:
1400:
1399:
1396:
1392:
1389:
1387:
1384:
1382:
1379:
1378:
1377:
1374:
1370:
1367:
1365:
1362:
1360:
1357:
1355:
1352:
1350:
1347:
1345:
1342:
1341:
1340:
1337:
1333:
1330:
1328:
1325:
1323:
1320:
1318:
1315:
1313:
1310:
1309:
1308:
1305:
1303:
1300:
1298:
1297:Convex series
1295:
1293:
1292:Bochner space
1290:
1286:
1283:
1282:
1281:
1278:
1276:
1273:
1272:
1270:
1266:
1260:
1257:
1255:
1252:
1250:
1247:
1245:
1244:Riesz's lemma
1242:
1240:
1237:
1235:
1232:
1230:
1229:Mazur's lemma
1227:
1225:
1222:
1220:
1217:
1215:
1212:
1210:
1207:
1203:
1200:
1199:
1198:
1195:
1193:
1190:
1188:
1185:
1183:
1182:Gelfand–Mazur
1180:
1178:
1175:
1173:
1170:
1168:
1165:
1163:
1160:
1158:
1155:
1153:
1150:
1148:
1145:
1143:
1140:
1138:
1135:
1133:
1130:
1128:
1125:
1123:
1120:
1119:
1117:
1115:
1111:
1105:
1102:
1100:
1097:
1093:
1090:
1088:
1085:
1084:
1083:
1080:
1076:
1073:
1071:
1068:
1067:
1066:
1063:
1061:
1058:
1056:
1053:
1051:
1048:
1047:
1045:
1043:
1039:
1033:
1030:
1028:
1025:
1023:
1020:
1018:
1015:
1013:
1010:
1008:
1005:
1003:
1000:
998:
995:
991:
988:
987:
986:
983:
981:
978:
974:
971:
969:
966:
965:
963:
961:
958:
956:
952:
948:
944:
941:
940:
939:
936:
934:
931:
929:
925:
921:
917:
914:
912:
909:
907:
904:
903:
902:
899:
897:
894:
893:
891:
889:
885:
879:
876:
874:
871:
867:
864:
862:
859:
858:
857:
854:
850:
847:
845:
842:
841:
840:
837:
835:
832:
830:
827:
823:
820:
819:
818:
815:
813:
810:
808:
805:
804:
802:
798:
792:
789:
787:
784:
780:
777:
776:
775:
772:
770:
767:
765:
762:
758:
754:
751:
750:
749:
746:
742:
739:
738:
737:
734:
732:
729:
727:
724:
722:
719:
718:
716:
712:
705:
701:
697:
694:
692:
688:
686:
683:
681:) convex
680:
677:
675:
672:
670:
666:
664:
661:
659:
656:
654:
650:
646:
642:
639:
637:
634:
633:
632:
629:
627:
626:Grothendieck
624:
622:
619:
615:
612:
611:
610:
607:
605:
602:
601:
599:
595:
590:
583:
578:
576:
571:
569:
564:
563:
560:
549:
545:
540:
535:
531:
527:
526:
521:
517:
511:
509:
505:
500:
496:
491:
486:
482:
478:
474:
470:
469:Phelps, R. R.
466:
460:
458:
454:
447:
442:
441:Mazur's lemma
439:
437:
434:
428:
425:
422:
419:
416:
413:
410:
407:
406:
402:
400:
386:
376:
363:
360:
338:
334:
326:
322:
305:
301:
293:
290:
285:
281:
277:
274:
270:
241:
235:
225:
222:
219:
211:
198:
194:
187:
162:
159:
154:
150:
129:
109:
102:
86:
83:
76:
60:
57:
54:
35:
33:
31:
30:Robert Phelps
27:
26:Errett Bishop
23:
22:Banach spaces
19:
2558:expanding it
2547:
2532:
2484:Balanced set
2458:Distribution
2396:Applications
2249:Krein–Milman
2234:Closed graph
2011:Applications
1932:
1843:
1804:
1751:
1737:
1733:
1720:
1654:
1606:
1493:Linear cone
1486:
1482:
1471:Convex cone
1364:Paley–Wiener
1224:Mackey–Arens
1214:Krein–Milman
1167:Closed range
1162:Closed graph
1132:Banach–Mazur
1012:Self-adjoint
916:sesquilinear
649:Polynomially
589:Banach space
529:
523:
480:
476:
378:
75:Banach space
40:
24:named after
17:
15:
2413:Heat kernel
2403:Hardy space
2310:Trace class
2224:Hahn–Banach
2186:Topological
1732:Continuous
1567:Linear span
1552:Convex hull
1532:Affine hull
1391:holomorphic
1327:holomorphic
1307:Derivatives
1197:Hahn–Banach
1137:Banach–Saks
1055:C*-algebras
1022:Trace class
985:Functionals
873:Ultrastrong
786:Quasinormed
2597:Categories
2346:C*-algebra
2161:Properties
1485:), and (Hw
1386:continuous
1322:functional
1070:C*-algebra
955:Continuous
817:Dual space
791:Stereotype
769:Metrizable
696:Projective
448:References
175:such that
2320:Unbounded
2315:Transpose
2273:Operators
2202:Separable
2197:Reflexive
2182:Algebraic
2168:Barrelled
1944:Sobolev W
1887:Schwartz
1862:∞
1823:∞
1819:ℓ
1785:Ω
1771:λ
1629:Σ
1511:Symmetric
1446:Absorbing
1359:regulated
1339:Integrals
1192:Goldstine
1027:Transpose
964:Fredholm
834:Ultraweak
822:Dual norm
753:Seminorms
721:Barrelled
691:Injective
679:Uniformly
653:Reflexive
532:: 25–28.
483:: 97–98.
415:Dual norm
339:∗
286:∗
278:∈
223:∈
160:∈
58:⊆
36:Statement
2522:Category
2334:Algebras
2216:Theorems
2173:Complete
2142:Schwartz
2088:glossary
1880:weighted
1750:Hilbert
1727:Bs space
1597:Examples
1562:Interior
1538:Relative
1516:Zonotope
1495:(subset)
1473:(subset)
1424:Strongly
1403:Lebesgue
1398:Measures
1268:Analysis
1114:Theorems
1065:Spectrum
990:positive
973:operator
911:operator
901:Bilinear
866:operator
849:operator
829:Operator
726:Complete
674:Strictly
518:(2000).
471:(1961).
403:See also
2325:Unitary
2305:Nuclear
2290:Compact
2285:Bounded
2280:Adjoint
2254:Min–max
2147:Sobolev
2132:Nuclear
2122:Hilbert
2117:Fréchet
2082: (
1745:Hardy H
1648:c space
1585:)
1540:)
1461:Bounded
1349:Dunford
1344:Bochner
1317:Gateaux
1312:Fréchet
1087:of ODEs
1032:Unitary
1007:Nuclear
938:Compact
928:Bounded
896:Adjoint
736:Fréchet
731:F-space
702: (
698:)
651:)
631:Hilbert
604:Asplund
548:1749671
499:0123174
2300:Normal
2137:Orlicz
2127:Hölder
2107:Banach
2096:Spaces
2084:topics
1661:Besov
1501:Radial
1466:Convex
1451:Affine
1420:Weakly
1413:Vector
1285:bundle
1075:radius
1002:Normal
968:kernel
933:Closed
856:Strong
774:Normed
764:Mackey
609:Banach
591:topics
546:
497:
2548:This
2112:Besov
1736:with
1583:Quasi
1577:Polar
1381:Borel
1332:quasi
861:polar
844:polar
658:Riesz
2554:stub
2460:(or
2178:Dual
1734:C(K)
1369:weak
906:form
839:Weak
812:Dual
779:norm
741:tame
614:list
321:norm
47:Let
28:and
951:Dis
534:doi
530:115
485:doi
353:of
319:is
262:)
216:sup
2599::
2086:–
1721:BV
1655:BK
1607:AC
1489:))
1422:/
924:Un
544:MR
542:.
528:.
522:.
507:^
495:MR
493:.
481:67
479:.
475:.
467:;
456:^
2585:e
2578:t
2571:v
2560:.
2464:)
2188:)
2184:/
2180:(
2090:)
2072:e
2065:t
2058:v
1991:)
1986:p
1982:L
1978:,
1975:X
1972:(
1969:W
1933:F
1914:)
1909:n
1904:R
1899:(
1895:S
1858:L
1844:L
1805:ℓ
1788:)
1782:(
1777:p
1774:,
1767:L
1752:H
1738:K
1698:)
1694:R
1690:(
1685:s
1680:q
1677:,
1674:p
1670:B
1632:)
1626:(
1623:a
1620:b
1581:(
1536:(
1487:x
1483:x
953:)
949:(
926:)
922:(
755:/
706:)
689:(
669:B
667:(
647:(
581:e
574:t
567:v
550:.
536::
501:.
487::
387:B
364:.
361:X
335:X
306:}
302:B
294:f
291::
282:X
275:f
271:{
249:|
245:)
242:b
239:(
236:f
232:|
226:B
220:b
212:=
208:|
204:)
199:0
195:b
191:(
188:f
184:|
163:B
155:0
151:b
130:B
110:f
87:.
84:X
61:X
55:B
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