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