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Semadini Z. — Banach Spaces of Continuous Functions. Vol. 1
Semadini Z. — Banach Spaces of Continuous Functions. Vol. 1

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Название: Banach Spaces of Continuous Functions. Vol. 1

Автор: Semadini Z.

Аннотация:

Central to this volume is the structural investigation of spaces of bounded continuous functions, spaces isomorphic to them, their subspaces, and their conjugate spaces; the alternative title "Banach spaces with the supremum norm" might be even more descriptive.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1971

Количество страниц: 66

Добавлена в каталог: 22.04.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$l_{1}$-join      193 458
$l_{\infty}$-join      193
A.H. Stone's theorem on paracompact spaces      354
Abdelhay, J.      232 489
Absolute of a space      449
Absolutely continuous measure      327
Absolutely convergent series      47
Accumulation point      44 110 149
Additive, $\omega$-additive      293 322
Additive, finitely additive      287
Additive, purely finitely additive      294
Adjoint functor, adjoint on the left [right]      222
Adjoint functor, left [right] adjoint      215
Affine compactification      409
Affine map      401
Affine set      401
Akilov, G.P.      453 454 489
Alaoglu theorem      109
Alaoglu, L.      68 110 489
Alexander, J.W.      110 489
Alexandroff — Hausdorff theorem (on continuous images of $2^{\omega}$)      143
Alexandroff, A.D.      293 295 314 489
Alexandroff, P.S.      92 110 112 125 127 136 138 143 144 150 151 214 243 449 490
Alexiewicz, A.      76 267 490
Alfsen, E.M.      243 253 371 407 413 423 424 426 428 490 491 555
Algebra over a field      50
Algebra, Boolean $\omega$-algebra      285
Algebra, Boolean algebra      271
Algebra, measure algebra      297 467
Algebraic tensor product      344
Alic, M.      76 491
Almost everywhere      255
Almost periodic compactification      250
Almost periodic function      250
Amemiya, I.      361 491
Amir, D.      132 375 382 384 454 491
Andersen, T.B.      371 555
Anderson, F.W.      119 132 234 491
Ando, T.      342 423 491
Anti-discrete preorder      34
Anti-discrete preorder topology      42
Anti-isomorphic categories      175
Anzai, H.      253 491
Aparina, L.V.      232 491
Archimedean vector space      68
Arens, R.      81 84 119 132 133 232 234 319 366 375 384 488 491 492
Arenson, E.L.      234 492
Arhangelskii, A.      366 492
Aronszajn, N.      81 423 454 457 492
arrow      188
Arsenin, V.Ja.      314 492 550
Artemenko, A.P.      483 492
Asimov, L.      423 488 555
Atiyah, M.F.      111 492
atom      276
Atomic Boolean algebra      277
Atomic measure      337
Atomless Boolean algebra      277
Atomless measure      337
Aubert, K.E.      132 253 493
Averaging operator      384
Axiom of Choice      21 181
Baayen, P.C.      133 436 449 493
Bachmann, H.      156 493
Bade, W.G.      140 158 234 293 304 493
Baire measure      306
Baire property      269
Baire set      306
Baire space      267
Baire, R.      271
Baker, J.W.      156 384 555
Ball      45 79
Banach algebra      50
Banach lattice      69
Banach — Mazur functor      180 409
Banach — Mazur theorem      156
Banach — Saks property      332
Banach — Stone Theorem      131
Banach, S.      95 133 271 293 314 332 374 466 493
Banaschewski, B.      119 133 140 243 449 493 494
Baron, S.      245 555
Bartle, R.G.      326 494
Base of open [closed] sets      43
Basic direct [codirect] object      437
Bass, H.      111 494
Bauer, H.      55 110 125 244 267 295 391 401 424 428 494 536
Baumann, V.      234 494
Bear, H.S.      134 391 494
Bednar, J.B.      488 495
Bendixson, I.      150
Berezanskii, I.A.      314 555
Berkson, E.      234 495
Bernard, A.      234 555
Bernau, S.J.      232 464 466 495
Bernays, P.      19 20 22 495
Bernstein polynomials      113
Bernstein, S.      118
Bessaga, C.      381 480 495
Between-theorems      100 367 444
Bicrossnorm      361
Bifunctor      175
Big category      161
Bijection      25
Bilinear map      342
Billik, M.      385 495
Binary intersection property      454
Binz, E.      76 495
Birkhoff, G.      42 232 326 385 466 495
Bishop — de Leeuw Theorem      428
Bishop, E.      119 371 413 428 495 496
Bjoerk, J.E.      234 555
Blair, R.      132 234 491 496
Blumenthal, R.M.      81 84 496
Boboc, N.      424 496 555
Bochner, S.      253 293 326 496
Bocof      235 238
Bocof method      277
Bocof morphism      238
Bocof, real [complex] bocof      236
Bocofoid      236 404
Bogoljubov, N.N.      397 424 496 556
Bohnenblust, H.F.      81 84 232 457 496
Bohr compactification      235 250
Bohr, H.      253
Bokstein, M.      144 496
Bonsall, F.F.      65 84 332 413 496 497
Boolean algebra      271 282
Boolean homomorphism      273
Boolean ring      274
Borel measure      306
Borel set      306
Borsuk — Dugundji theorem      365
Borsuk, K.      127 168 366 375 380 381 497
Boundary for a subspace      388
Boundary for a subspace, (topological) boundary      43
Boundary for a subspace, lattice boundary      399
Boundary for a subspace, Milman — Choquet boundary      426
Boundary for a subspace, Silov boundary      389
Bounded bilinear operator      342
Bounded bilinear operator, metric-bounded      45
Bounded bilinear operator, order-bounded      34
Bounded measure      289
Bourbaki, N.      30 44 53 59 88 90 92 97 99 110 125 171 174 215 238 260 497
Bourgin, D.G.      132 133 497
Bourne, S.      234 497
Brainerd, B.      385 449 498
Braunschweiger, C.C.      81 466 480 498 509
Brelot, M.      428 498
Brondsted, A.      428 498
Browder, A.      234 498
Brown, R.      129 498
Bruns, G.      449 494 498
Buchwalter, H.      351 361 498
Buck, R.C.      119 232 314 498
Bucur, Gh.      103 556
Bucy, R.S.      414 499
Bundle      110
Burstin, C.      247 499
C-ideal      119
C-unit      229
Cambern, M.      132 382 499 556
Canonical factorization from X into $\mathscr{C}^{*}(X)$      78
Canonical factorization into the set of states      404
Canonical factorization of a continuous map      86
Canonical image (in the second conjugate)      50
Canonical injection of $\mathscr{C}(X, \mathscr{C}(Y))$      90
Canonical injections into the sum      26
Canonical map from a bocofoid H into $\mathcal{A}(\mathcal{K}(H))$      405
Canonical morphism from $\Sigma G[to \Pi G]$      435 442
Canonical natural transformation      219
Canonical projection onto an axis      25 193
Canonical surjection onto a quotient set      27
Cantor cube      88 141
Cantor discontinuum      141
Cantor — Bendixson Theorem      148
Cantor, D.G.      119 150 156 499
Cantor, G.      150 156
Cantwell, J.      81 119 127 140 232 499
Caratheodory, C.      267 469 499
cardinal number      28
Cardinal product      41
Cardinal sum      41
Carleson, L.      371 499
Carrier of a measure      335
Cartan, H.      162 183 260 319 352 499
Cartier, P.      413 499
Categorical notion      165
Categories, equivalent categories      227
Categories, isomorphic categories      175
Category      160 162
Category of maps      159
Category, concrete category      162
Category, discrete category      162
Category, dual category      165
Category, quasi-dual category      226
Category, quasi-isomorphic category      226
Category, selectively complete category      209
Category, small category      161
Cater, S.      132 500
Cecil, E.      44 97 110 119 127 156 242 244 246 500
Centroid of a measure      410
Chain      33
Character of a group      117
Characteristic function      28
Chevalley, C.      110 500
Choda, H.      118 500
Choice axiom      21 181
Choquet theorem      412
Choquet, G.      81 413 414 423 424 426 500 556
Ciampa, S.      244 556
Ciesielski, Z.      147 500
Civin, P.      133 151 500
Clarkson, J.A.      232 500
class      19
Closed function      44
Closed ideal      66
Closed set      43
Closure      43
Coarser topology      43
Cocomplete category      207
Codimension      49
Codirect object      437
Codomain      24 161
Coenvelope      445
Coequalizer      200
Cofinal ordinal      151
Cofinal subset      39
Cogenerator      434
Cohen, H.B.      151 342 449 451 453 454 501
Coinitial      39
Collins, H.S.      232 501
Comfort, W.W.      245 248 304 501
Commutative diagram      31 188
Compact convex set      401
Compact ordinal      28
Compact space      106
Compact-open topology      186
Compactification of a uniformizable space      243
Compactification, affine compactification      409
Compactification, one-point compactification      111
Comparable elements      33
Compatible family of morphisms      203
Complement in a Boolean algebra      272
Complement of a set      19
Complement of an ideal      67
Complementable subspace      372
Complementary subspaces      372
Complete category      207
Complete metric space      46
Completely monotonic function      413
Completely monotonic subspace      232
Completely regular space      96
Completion functor      179
Completion of a metric space      46
Complex-determinative structure type      235
Component functor      179
Component of a topological space      136
Composition of functors      174
Composition of maps      24
Composition of morphisms      160
Composition of natural transformations      187
Composition of relations      22
Concave function      402
Concentrated, measure      287
Concordant functors      174
Cone in a vector space      51 415
Cone over a topological space      182
Connected topological space      91
Constant function      23
Constant functor      175
Constantin, Gh.      119 501 519
Continuous convergence      90
Continuous function      44
Continuous function on a convergence space      64
Contraction      46
Contravariant functor      174
Convergent net      44 64
Convergent net, order-convergent      40
Convergent net, weakly-convergent      93 94
Convergent Series      47
Converse, G.      84 501
Convex function      402
Convex function, strictly convex function      410
Convex set      80
Convex set, compact convex set      401
Conway, J.      304 501
Coproduct      192 193 280
Corduneau, C.      132 501
Coretraction      167
Cornea, A.      424 496 501
Correspondence      22
Corson, H.H.      81 84 367 383 388 500 501
Countable chain condition      463 487
Countable class      28
Countable family      29
Countably additive      293 322
Counterimage      23
Countryman, R.S., Jr.      133 502 556
Covariant functor      174
Cover      26 43
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