673:; Marchenko, Vladimir A.; Novikov, Sergei P.; Ostrovskii, M. I.; Pastur, Leonid A.; Plichko, Anatolii N.; Popov, M. M.; Semenov, Evgenii M.; Troyanskii, S. L.; Fonf, Vladimir P.; Khruslov, Evgenii Ya. (2011). "Mikhail Iosifovich Kadets (obituary)".
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Gelʹfand, I. M.; Levin, B. Ya.; Marchenko, V. A.; Pogorelov, A. V.; Sobolev, S. L. (1984). "Mikhail Iosifovich Kadets (on the occasion of his sixtieth birthday)".
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1008:. Operator Theory: Advances and Applications. Vol. 94 (Translated by Andrei Iacob from the Russian-language ed.). Basel: Birkhäuser Verlag. pp. viii+156.
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225:. He developed the method of equivalent norms, which has found numerous applications. For example, he showed that every separable Banach space admits an equivalent
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he returned to
Kharkov in 1957, where he spent the remainder of his life working at various institutes. He defended his PhD in 1955 (under the supervision of
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Kadets also made several contributions to the theory of finite-dimensional normed spaces. Together with M. G. Snobar (1971), he showed that every
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Kadets was the founder of the
Kharkov school of Banach spaces. Together with his son Vladimir Kadets, he authored two books about series in Banach spaces.
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Kadets was born in Kiev. In 1943, he was drafted into the army. After demobilisation in 1946, he studied at
975:. Cambridge Tracts in Mathematics. Vol. 72. Cambridge-New York-Melbourne: Cambridge University Press.
876:. North-Holland Mathematics Studies. Vol. 68 (2nd ed.). Amsterdam: North-Holland Publishing Co.
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909:. CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC. New York: Springer. pp. 320–323.
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Fabian, Marián; Habala, Petr; Hájek, Petr; Montesinos, Vicente; Zizler, Václav (2011).
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267:-dimensional subspace of a Banach space is the image of a projection of norm at most
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168:, 30 November 1923 – 7 March 2011) was a Soviet-born Jewish mathematician working in
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767:. Monografje Matematyczne I. Warszawa: Mathematisches Seminar der Univ. Warschau.
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and V. I. Matsaev, he found the exact order of magnitude of the
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Banach space theory. The basis for linear and nonlinear analysis
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Completeness and basis properties of sets of special functions
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Series in Banach spaces: Conditional and unconditional convergence
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Laureates of the State Prize of
Ukraine in Science and Technology
240:, he obtained important results on the topological structure of
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Banach-Mazur distances and finite-dimensional operator ideals
568:{\displaystyle (\exp(i\lambda _{n}x))_{n\in \mathbb {Z} }}
395:, Kadets proved (1964) what is now called the Kadets
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843:. Boston, MA: Birkhäuser Boston, Inc. p. 609.
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1004:Kadets, Mikhail I.; Kadets, Vladimir M. (1997).
874:Introduction to Banach spaces and their geometry
841:History of Banach spaces and linear operators
804:and Mazur's updates of the "remarks" section"
479:{\displaystyle |\lambda _{n}-n|\leq C<1/4}
188:, graduating in 1950. After several years in
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199:After reading the Ukrainian translation of
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872:Beauzamy, Bernard (1985). "Chapter VI".
783:(in Ukrainian). Kiev: Radians'ka shkola.
221:infinite-dimensional Banach spaces are
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938:Tomczak-Jaegermann, Nicole (1989).
217:problem, asking whether every two
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800:"On the Ukrainian translation of
802:Théorie des opérations linéaires
206:Théorie des Opérations Linéaires
730:10.1070/rm1984v039n06abeh003197
695:10.1070/RM2011v066n04ABEH004756
423:theorem, which states that, if
164:, sometimes transliterated as
146:Mikhail Iosiphovich Kadets
971:Higgins, John Rowland (1977).
794:Ostrovskii & Plichko (2009
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382:{\displaystyle \ell _{q}^{n}.}
1:
1050:Mathematics Genealogy Project
781:Course in functional analysis
347:{\displaystyle \ell _{p}^{n}}
287:{\displaystyle {\sqrt {n}}.}
796:, First page of preprint):
765:Theory of Linear Operations
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839:Pietsch, Albrecht (2007).
645:Zh. Mat. Fiz. Anal. Geom.
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229:norm if and only if the
162:Михайло Йосипович Кадець
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617:{\displaystyle L_{2}}
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651:(2): 194–195. 2011.
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322:-dimensional spaces
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1065:Functional analysts
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687:2011RuMaS..66..809L
416:{\displaystyle 1/4}
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172:and the theory of
79:Kharkov University
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486:for all integers
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90:Kadets
52:(2011-03-07)
50:7 March 2011
1105:Soviet Jews
1085:2011 deaths
1080:1923 births
577:Riesz basis
194:Boris Levin
134:Boris Levin
65:Citizenship
1059:Categories
773:58.0420.01
761:Banach, S.
681:(4): 809.
231:dual space
32:1923-11-30
811:Mat. Stud
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242:Lp spaces
219:separable
158:Ukrainian
763:(1932).
190:Makeevka
170:analysis
100:-theorem
1048:at the
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630:Notes
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1010:ISBN
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354:and
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