Singer I. — Bases in Banach spaces I :: Электронная библиотека попечительского совета мехмата МГУ

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Singer I. — Bases in Banach spaces I

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Название: Bases in Banach spaces I

Автор: Singer I.

Аннотация:

This monograph attempts to present the results known today on bases in Banach spaces and some unsolved problems concerning them.

Язык:

Рубрика: Математика/Анализ/Функциональный анализ/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1970

Количество страниц: 341

Добавлена в каталог: 20.04.2005

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Предметный указатель

Matrix which preserves bases      135
Matrix, orthogonal      402
Matrix, symmetric      402
Maximal theorem      414
Mazur, S.      2 207 209 281 318 447
McArthur, C.W.      206 210 638 644 645
McCarthy, C.A.      634
McGivney, R.J.      203 209 639
McWilliams, R.D.      209
Milman, D.P.      207 210 623 628
Milman, V.D.      205 208 628 630
Minimal (sequence)      50
Minkowski functional      22 377
Minkowski — Weyl theorem      482
Mityagin, B.S.      202 639
Monotonize      250
Monotonize, strictly      250
Morse, A.P.      625
Muentz, C.      50
Multiplier      40
Multiplier algebra for a basis      142
Multiplier of a space      40
Multiplier of an element      40
n-independent (system)      221
n-subsystem      221
n-th main triangle projection      509
Nagy, B.Sz.      206 208 639
Naimark, M.A.      201
NEAR      84 106
Near, $(F,\{e_n\})$ -near      355
Near, $\infty$ -near      355
Near, KL-near      106
Near, N-near      106
Near, p-near      355
Near, PH-near      106
Near, PW-near      106
Near, quadratically      346
Near, strictly      106
Near, strongly KL-near      107
Near, weakly      106
Near, weakly $(F,\{e_n\})$ -near      355
Near, weakly $\infty$ -near      355
Near, weakly p-near      355
Near, weakly quadratically      346
Neubauer, G.      208
Newns, F.      202
Nguen, Van Khue      638
Nikolskii, S.M.      624
Nikolskii, V.N.      202 203 211 212
Norm      375
Norm of a sequence      63
Norm of a sequence, symmetric (of a basis)      582
Norm of a sequence, unconditional      504
Norm of a space with a basis, symmetric (with respect to the basis)      582
Norm with respect to a basis, K-norm      175
Norm with respect to a basis, NK- norm      551
Norm with respect to a basis, NT- norm      550
Norm with respect to a basis, NTK- norm      551
Norm with respect to a basis, T- norm      175
Norm with respect to a basis, TK- norm      176
Norm with respect to a basis, weak K- norm      183
Norm with respect to a basis, weak NT- norm = weak NK- norm = weak NTK- norm      554
Norm with respect to a basis, weak T- norm      182
Norm with respect to a basis, weak TK- norm      183
Norm, semi-monotone      328
Opening      224
Operator of finite rank      170
Order of a polynomial      185
Orlicz, W.      201 203 207 318 633 637 638
Orthogonal (elements, subspaces)      215
Orthogonal strictly      215
Oskolkov, K.I.      643
Paley — Wiener theorem      84
Paley, R.E.A.C.      205 208 633
Part of a permutation      637
Partial order relation induced by a cone      328
Partial sum operators      25 158
Partial sum operators, associated sequence of partial sum operators      25 158
Pelczynski, A.      202 204 205 206 207 209 210 624 625 626 629 630 632 634 637 638 639 640 641 642 643 644
Permutation      361
Petunin, Yu.I.      623
Pluecker — Grassman coordinates      225
Pollard, H.      206 208
Polynomial      175
Polynomial complement      175
Pontryagin, L.S.      623
Property (p)      435
Property (u)      442
Ptak, V.      626
Rademacher functions      396
Rademacher sytem with respect to a basis      598
Ray      321
Ray, extremal      321
Real Banach space associated to a complex Banach space      3
Real-linear      4
Related bases      207

Retherford, J.R.      206 208 209 210 211 212 624 629 630 631 636 638 640 641 642 644 645
Riesz convexity theorem      409
Riesz convexity theorem for vector-valued functions      413
Riesz, F.      622
Riesz, M.      342
Rolle, M.      246
Ruckle, W.      203 208 209 211 625 626 627 630 639 640 643
Ruston, A.F.      623
Rutickii, Ya.B.      201
Rutman, M.A.      207 210 639
Schaefer, H.H.      628 638
Schaefke, F.W.      205
Schatten, R.      172
Schauder, J.      200 201
Schmidt, E.      24 431
Schonefeld, S.      201
Schwartz, J.      634
Semadeni, Z.      211
Semi-monotone (norm)      328
Separable      1 144
Separable, sequentially w*-separable      210
Sequence space      131
Sequence space associated to a basis      131
Sequence space, $\alpha$ -perfect      526
Sequence space, $\gamma$ -perfect      131
Sequence space, $\sigma$ -perfect      596
Sequence space, normal      527
Sequence space, symmetric      596
Sequentially w*-separable      210
Shimogaki, T.      201
Sobczyk, A.      642
Sobolev, V.I.      211
Solomiak, M.Z.      203 623
Stability theorems      84
Stable property      84 107
Stable property ,strictly      107
Stable property, KL-stable property      107
Stable property, N-stable property      107
Stable property, PH-stable property      107
Stable property, PW-stable property      107
Stable property, strictly KL-stable property      107
Stable property, strongly      107
Stable property, weakly      107
Stable sequence      108
Stable sequence, $(F,\{e_n\})$ -stable sequence      356
Stable sequence, $\infty$ -stable sequence      356
Stable sequence, p-stable sequence      356
Stable sequence, quadratically      349
Stable sequence, weakly      108
Stable sequence, weakly $\infty$ -stable sequence      356
Stable sequence, weakly p-stable sequence      356
Stable sequence, weakly quadratically      349
Stationary point      244
Steckin, S.B.      212
Steinhaus, H.      203
Sternbach, L.      639
Strictly positive functional      329
subspace      2
Support      264
Symmetric constant of a basis      582
Symmetric gauge function      630
Symmetric space      582
System $\Gamma$       194
System $\Lambda$       194
System sub- $\Gamma$       193
System, Lozinsky — Harsiladze      194
System, sub- $\Lambda$       193
Szegoe,G.      634
Szlenk, W.      625 630
Taylor, A.E.      623
Tensor product of two bases      173
Timan, A.F.      623
Total subspace of E*      114
Total system of linear manifolds in       223
Total, sequence of functionals      32
Tychonov, A.      452
U-stable E-complete biorthogonal system      470
Ulam, S.      207
Unconditionally Cauchy series, $\mathrm{weakly} = \sigma(E, E^*)$ -unconditionally Cauchy series      432
Unconditionally Cauchy series, $\sigma (E^*,E)$ -unconditionally Cauchy series      432
Unconditionally convergent series      458
Vaher, F.S.      201
Veic, B.E.      206 629 630 633 638 639
Vinokurov, V.G.      202 636
Walsh functions      398
Waterman, D.      210
Weak basis theorem      209
Weierstrass, K.      24 249 345
Wiener, N.      205 208
Wilansky, A.      208 209 624
Williams, J.P.      625
Yamazaki, S.      203 639 640
Yano, S.      633
Yudin, A.      639
Zippin, M.      203 204 641 643 644
Zygmund, A.      414

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