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O*-algebra

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383: 25: 46: 424: 337: 70: 443: 417: 448: 410: 285: 234: 190: 150: 120: 96: 333: 301: 250: 206: 179:"On the algebra of field operators. The weak commutant and integral decompositions of states" 325: 293: 269: 242: 198: 158: 112: 92: 367: 347: 313: 262: 218: 170: 363: 343: 309: 258: 214: 166: 116: 289: 238: 194: 154: 394: 354:
Uhlmann, Armin (1962), "Über die Definition der Quantenfelder nach Wightman und Haag",
39: 33: 437: 246: 100: 273: 178: 382: 84: 324:, Operator Theory: Advances and Applications, vol. 37, Birkhäuser Verlag, 329: 305: 254: 210: 141:
Borchers, H.-J. (1962), "On structure of the algebra of field operators",
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began the systematic study of algebras of unbounded operators.
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Lassner, G. (1972), "Topological algebras of operators",
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Unbounded operator algebras and representation theory
111:, who studied some examples of O*-algebras, called 356:Wiss. Z. Karl-Marx-Univ. Leipzig Math.-Nat. Reihe 274:"Self-adjoint algebras of unbounded operators" 418: 8: 103:. The original examples were described by 425: 411: 71:Learn how and when to remove this message 104: 128: 108: 16:Algebra of possibly unbounded operators 278:Communications in Mathematical Physics 183:Communications in Mathematical Physics 177:Borchers, H. J.; Yngvason, J. (1975), 124: 7: 379: 377: 14: 99:defined on a dense subspace of a 381: 23: 227:Reports on Mathematical Physics 1: 397:. You can help Knowledge by 247:10.1016/0034-4877(72)90012-2 465: 376: 320:Schmüdgen, Konrad (1990), 330:10.1007/978-3-0348-7469-4 393:-related article is a 32:This article includes 121:quantum field theory 115:, arising from the 290:1971CMaPh..21...85P 239:1972RpMP....3..279L 195:1975CMaPh..42..231B 155:1962NCim...24..214B 97:unbounded operators 298:10.1007/bf01646746 203:10.1007/bf01608975 163:10.1007/BF02745645 40:properly formatted 444:Operator algebras 406: 405: 339:978-3-7643-2321-9 270:Powers, Robert T. 113:Borchers algebras 81: 80: 73: 456: 427: 420: 413: 385: 378: 370: 350: 316: 265: 221: 173: 76: 69: 65: 62: 56: 54: 49:this article by 34:inline citations 27: 26: 19: 464: 463: 459: 458: 457: 455: 454: 453: 434: 433: 432: 431: 374: 353: 340: 319: 268: 224: 176: 140: 137: 117:Wightman axioms 105:Borchers (1962) 77: 66: 60: 57: 52:correcting them 50: 44: 28: 24: 17: 12: 11: 5: 462: 460: 452: 451: 446: 436: 435: 430: 429: 422: 415: 407: 404: 403: 386: 372: 371: 351: 338: 317: 266: 233:(4): 279–293, 222: 189:(3): 231–252, 174: 149:(2): 214–236, 136: 133: 129:Lassner (1972) 109:Uhlmann (1962) 79: 78: 31: 29: 22: 15: 13: 10: 9: 6: 4: 3: 2: 461: 450: 449:Algebra stubs 447: 445: 442: 441: 439: 428: 423: 421: 416: 414: 409: 408: 402: 400: 396: 392: 387: 384: 380: 375: 369: 365: 361: 357: 352: 349: 345: 341: 335: 331: 327: 323: 318: 315: 311: 307: 303: 299: 295: 291: 287: 284:(2): 85–124, 283: 279: 275: 271: 267: 264: 260: 256: 252: 248: 244: 240: 236: 232: 228: 223: 220: 216: 212: 208: 204: 200: 196: 192: 188: 184: 180: 175: 172: 168: 164: 160: 156: 152: 148: 144: 143:Nuovo Cimento 139: 138: 134: 132: 130: 126: 125:Powers (1971) 122: 118: 114: 110: 106: 102: 101:Hilbert space 98: 94: 90: 86: 75: 72: 64: 53: 48: 43: 41: 38:they are not 35: 30: 21: 20: 399:expanding it 388: 373: 359: 355: 321: 281: 277: 230: 226: 186: 182: 146: 142: 95:of possibly 88: 82: 67: 58: 37: 362:: 213–217, 85:mathematics 438:Categories 135:References 89:O*-algebra 306:0010-3616 255:0034-4877 211:0010-3616 272:(1971), 61:May 2024 391:algebra 368:0141413 348:1056697 314:0283580 286:Bibcode 263:0322527 235:Bibcode 219:0377550 191:Bibcode 171:0142320 151:Bibcode 93:algebra 47:improve 45:Please 366:  346:  336:  312:  304:  261:  253:  217:  209:  169:  91:is an 36:, but 389:This 87:, an 395:stub 334:ISBN 302:ISSN 251:ISSN 207:ISSN 127:and 107:and 326:doi 294:doi 243:doi 199:doi 159:doi 119:of 83:In 440:: 364:MR 360:11 358:, 344:MR 342:, 332:, 310:MR 308:, 300:, 292:, 282:21 280:, 276:, 259:MR 257:, 249:, 241:, 229:, 215:MR 213:, 205:, 197:, 187:42 185:, 181:, 167:MR 165:, 157:, 147:24 145:, 123:. 426:e 419:t 412:v 401:. 328:: 296:: 288:: 245:: 237:: 231:3 201:: 193:: 161:: 153:: 74:) 68:( 63:) 59:( 55:. 42:.

Index

inline citations
properly formatted
improve
correcting them
Learn how and when to remove this message
mathematics
algebra
unbounded operators
Hilbert space
Borchers (1962)
Uhlmann (1962)
Borchers algebras
Wightman axioms
quantum field theory
Powers (1971)
Lassner (1972)
Bibcode
1962NCim...24..214B
doi
10.1007/BF02745645
MR
0142320
"On the algebra of field operators. The weak commutant and integral decompositions of states"
Bibcode
1975CMaPh..42..231B
doi
10.1007/bf01608975
ISSN
0010-3616
MR

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