Harmand P., Werner D., Werner W. — M-Ideals in Banach Spaces and Banach Algebras :: Электронная библиотека попечительского совета мехмата МГУ

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Harmand P., Werner D., Werner W. — M-Ideals in Banach Spaces and Banach Algebras

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Название: M-Ideals in Banach Spaces and Banach Algebras

Авторы: Harmand P., Werner D., Werner W.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1993

Количество страниц: 387

Добавлена в каталог: 15.08.2008

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Предметный указатель

MCAP      (see Approximation property metric
Metric complement of an M-ideal      57
Metric complement of K(X,Y)      293
Metric complement, definition      49
Metric projection in L-embedded spaces      165
Metric projection, continuity of      54
Metric projection, continuous selection for      55
Metric projection, definition      49
Michael — Pelczyriski theorem      64
Modular sequence spaces      336
Modulus of continuity      168
Mooney — Havin theorem      170
Multiplier      33
Multiplier algebra      33
Multiplier algebra of dual spaces      39
Multiplier algebra of function algebras      34
N-ball property      18
N-ball property, strict      19
Nehari — Hartman theorem      112
Nest algebras      253
Nicely placed, n.k.IP      99
Nicely placed, sets      190—199 203—207
Nicely placed, subspaces      190
Norm attaining operators      293
Numerical range      218
Numerical range, spatial      17 246
Orlicz spaces      102 105 146 329—332
P-set      233
Peak set      15 233
Pelczynski’s linear extension theorem      64
Principle of local reflexivity      217
Projectional resolutions of the identity      135—145 153—156
Projective tensor product, Cunningham algebra of      285
Projective tensor product, definition      285
Projective tensor product, L-summands in      286
Property $(M_{p})$       306
Property (M)      296
Property (M), sequential version      300
Property (M*)      296
Property (M*), sequential version      300
Property (u)      132—133 213
Property (V)      127—132
Property (V*)      127—132 172—176
Property (X)      147
Proximinality of $H^{\infty}+C$       111
Proximinality of K(X)      339—341
Proximinality of L-embedded spaces      165
Proximinality of M-ideals      50
Proximinality, definition      49
Pseudoballs and proper M-ideals      69
Pseudoballs, definition      50
Pseudoballs, grade of      50
Quasiballs      79

Radon-Nikodym property and Riesz sets      192
Radon-Nikodym property of duals of M-embedded spaces      126 176
Radon-Nikodym property of L-embedded spaces      176—179 197
Renormings      65 80 328—332
Renormings of M-embedded spaces      123 124 142
Renormings, Troyanski’s renorming theorem      145
Resultant      25
Riesz sets      190—199 203—207
Riesz theorem      (see F. and M. Riesz theorem)
RNP      (see Radon-Nikodym property)
Rudin — Carleson theorem      97
Ruess — Stegall theorem      266
Schreier space      148
Selection      50 55 95
Semi iwdealoids      46
Semi L-summands      43
Semi L-summands in biduals      200—201
Semi M-ideals      43—44
Separable complementation property      145
Shapiro sets      190—199 203—207
Shapiro sets and M-embedded spaces      195
Shrinking compact approximation of the identity      298
Smooth points in operator spaces      319
Sobczyk’s theorem      64
Space $H^{\infty}+C$       105 111—113 152
Space C/A      105 112—113 168 197 204 321
Split face      5
Square Banach space      94
Stable Banach spaces      324
State space      218
Strongly exposed points      127
Structure topology of $C_{\sigma}$ -spaces      95
Structure topology of an injective tensor product      288
Structure topology of G-spaces      86 3
Structure topology, definition      38
Structure topology, Hausdorff separation property of      86
Translation invariant subspaces      189
Troyanski’s renorming theorem      145
Tsirelson space      327
TYPE      323
Ultraproduct      91
Unconditional expansion of the identity      303 343
Unconditional metric approximation, property      343
Unconditionally converging operator      128
Unique extension property      118
Unique preduals      122 163
Unique preduals, strongly      121 123
Vidav — Palmer theorem      219
Von Neumann algebras, preduals of      158 176
Von Neumann algebras, two-sided ideals in      234
Weakly compactly generated      142
Weakly null type      323
wuC-series      127

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