Semadini Z. — Banach Spaces of Continuous Functions. Vol. 1 :: Электронная библиотека попечительского совета мехмата МГУ

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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:

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

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Предметный указатель

Ideal of negligible sets, maximal ideal      232
Ideal of negligible sets, principal ideal      282
Identification      88
Identity      22 24 160 162
Iliadis, S.      243 449 518
Image      23
Increasing function      37 40
Independent elements of a Boolean algebra      469
Independent elements of a Boolean algebra, stochastically independent      470 471 472
Induced operator      76 311
Induced preorder      33
Induced topology      84
Infimum      34
Infimum, essential infimum      255
Infinite Boolean join [meet]      285
Infinitely divisible measure      413
Infinity (for a locally compact space)      112
Ingelstam, L.      234 518
Initial object      171
Injection      24
Injective envelope      445
Injective envelope of a Banach space      451
Injective object      430 441
Input      203
Input-preserving functor      224
integral      288 290 329
Integral representation of linear operators      323
Interior mapping principle      48
Interior of a set      43
Interpolation property      39 444
Intersection      19 25 206
interval      38 134
Interval topology      134
Invariant mean      319
Invariant measure      422
Inverse      22 167 249
Inverse function      25
Inverse limit      210
Inverse map      25
Inverse system      210
Inversely continuous functor      213
Involution      50
Ionescu-Tulcea, A.      84 518
Irreducible continuous surjection      108 433 446
Isbell, J.R.      81 92 97 106 119 140 179 197 209 214 243 245 375 446 449 453 454 518 519
Iseki, K.      125 332 519
Isiwata, T.      97 445 519
Isolated point      43
Isometrically isomorphic Banach spaces      375
Isometrically isomorphic measure algebras      297
Isometry      46
Isomorphic Banach spaces      375
Isomorphic Boolean algebras      271
Isomorphic categories      175
Isomorphism in a category      167
Isomorphism of structures      237
Istratescu, I.      119 519
Ito, T.      158 445 519
Ivanovskii, L.N.      144 519
Jacobs, K.      424 519
James, R.C.      453 519
Jameson, G.J.O.      84 232 519 558
Jellett, P.      424 520
Jensen, G.A.      232 520
Jerison, M.      76 81 232 245 320 428 449 488 511 516 520
Jessen, B.      295
Jewett, R.I.      119 520
Johansen, J.      414 520
Johnson, D.G.      449 520 528
Johnson, K.G.      267 277 293 520
Johnson, William B.      367 558
Join (Boolean)      272
Join, infinite Boolean join      285
Jonac, M.L.      397 488 558
Jordan decomposition of a measure      292
Jordan measure      288
Jordan — Riesz decomposition of a linear functional      60
Kaczmarz, S.      144 147 158 520
Kadison, R.V.      69 232 407 520
Kakutani, S.      68 84 118 127 132 231 232 242 246 253 277 285 295 314 320 323 328 361 363 366 466 480 496 521 534
Kaltenbom, H.S.      314 521
Kamowitz, H.      111 521
Kan theorem      217 221
Kan, D.M.      162 189 207 215 217 220 521
Kantorovic, L.V.      53 65 246 293 374 508 521
Kaplan, S.      260 267 449 483 521 558
Kaplansky theorem      129
Kaplansky, I.      84 92 119 132 141 158 234 488 492 521
Kappos, D.A.      469 522
Karlin, S.      81 496 522
Karlovitz, L.A.      466 558
Karoubi, M.      111 522
Kasahara, S.      332 522
Katetov, M.      103 140 372 522
Katz, M.      314 509 522 557
Katznelson, Y.      119 234 522
Kaufman, R.      453 522
Keldys, M.V.      428 522
Kelley, J.L.      28 44 53 84 88 90 96 97 110 125 132 215 232 234 243 326 337 385 404 464 480 484 487 492 507 523
Kelly, G.M.      352 523
Kendall, D.G.      413 423 523
Kennison, J.F.      245 523
Kernel of a set      150
Kernel of an operator      48
Khanh, B.D.      110 428 583
Klee, V.L., Jr.      81 496 500 523
Klimov, V.S.      118 523 524
Knaster, B.      150 156 523
Knowles, J.D.      314 523
Koenig, D.      136 513 524
Koethe, G.      303 383 487 488 524
Kohls, C.W.      215 366 524
Kohn, J.      424 558
Kolmogoroff, A.N.      122 132 242 413 510 511 524
Komura, Y.      234 524
Kondo, M.      260 524
Korovkin system      451
Korovkin, P.P.      118 524
Krasnoselskii, M.A.      118 451 524
Krein — Milman theorem      109
Krein, M.G.      55 81 84 110 127 132 136 158 231 232 332 413 423 466 480 483 524 525
Krein, S.G.      84 127 132 231 232 397 466 480 483 496 525 550 556
Kripke, B.R.      125 525
Krylov, N.M.      424 496 525 556
Kuelbs, J.      314 525
Kugler, L.D.      254 559
Kultze, R.      253 525
Kuratowski — Zorn maximum principle      36
Kuratowski, K.      20 37 81 151 525
Kuzminov, V.      144 525
L-pseudonorm      465
L-space      457 464 478 483
L-unit      72 458
Lacey, H.E.      151 158 337 342 339 449 454 488 495 501 514 515 525 559
Lakser, H.      449 559
Lambek, J.      207 215 449 464 498 508 525
Lardy, L.J.      366 525
Lattice      35
Lattice boundary      399
Lattice homomorphism      37
Lattice, vector lattice      51
Lazar, A.J.      81 424 441 488 526 559
Leader, S.      293 526
Lebesgue singular function      142
Lebesgue, H.      143 293
Leduc, M.      133 526
Leger, C.      413 424 526 559
Levi, P.W.      260 267 526
Levin, V.L.      361 526
Levy, P.      361 526

Lexicographic sum [product]      42 152
Lifsic, E.A.      118 451 524 526
Light map      140
Limit at infinity      112
Limit inferior [superior]      40 97
Limit inferior, essential limit inferior [superior]      256
Lindenstrauss, J.      84 232 304 367 384 388 413 423 453 454 457 488 496 497 501 527 559
Linear extension operator      364
Linton, F.E.J.      277 281 352 445 478 480 527
Lipschitz function      46 81
Lloyd, S.P.      84 295 323 326 385 397 424 483 527
Lnmer, G.      132 234 528
Localization of properties      257
Localization point      261
Localization property      258
Localization property, strong localization property      258 335
Locally compact space      111
Locally finite cover      352
Loeb, P.      401 527
Lomnicki, A.      247 528
Loomis — Sikorski theorem      286
Loomis, L.H.      234 253 286 295 319 390 413 528
Lorch, E.R.      244 295 512 528
Lorentz, G.G.      118 528
Los, J.      248 528
Lowdenslager, D.B.      480 528
Lower regularization      98 256
Lower semibounded set      34
Lower semicontinuous function      97
Lozanovskii, G.Ja.      10 453 559
Lusin theorem      333
Luxemburg, W.A.J.      53 248 528
M-pseudonorm      239
M-space      229 478
M.H. Stone's theorem on self-adjoint subalgebras of $\mathscr{C}(X)$       122
Maak, W.      253 528
Mack, J.      449 483 528
MacLane, S.      22 162 163 165 166 168 171 176 179 183 188 189 193 207 215 217 220 436 506 528 559
MacNeille, H.M.      448 529
Maharam theorem      467
Maharam, D.      469 529
Mallios, A.      361 529
Maltese, G.      414 499 529
Mandl, P.      314 529
Manheim, J.H.      75 529
MAP      24
Marcinkiewicz, J.      147 529
Marcus, S.      267 529
Marczewski, E.      37 144 260 363 469 484 529
Mardesic, S.      136 141 144 215 529 530
Marik, J.      232 332 334 480 530
Markoff, A.      314 530
Martchenko, V.      125 530
Martin, R.S.      414 424 530
Martineau, A.      383 530
Mass      309
Maurice, M.A.      136 630
Maximal C-ideal      119
Maximal element      36
Maximal ideal in a Banach algebra      232
Maximal ideal in a Boolean algebra      284
Maximal ring of quotients      464
Maximum principle for affine functions      403
Maximum principle for bocofoids      427
Mayer, R.D.      156 530
Mayrhofer, E.      289 530
Mazur — Gelfand theorem      233
Mazur — Ulam theorem      130
Mazur, S.      95 125 246 374 466 493 530
Mazurkiewicz — Sierpinski theorem      155
Mazurkiewicz, S.      156 530
McCarthy, C.      375 531
McDowell, R.H.      129 132 234 244 531
McWilliams, R.D.      382 384 531
Meager set      254 267
Mean      292
Mean, invariant mean      319
Measurable element      298
Measurable function      304 329
Measurable simple function      274
Measure      287
Measure algebra      297 466
Measure, absolutely continuous measure      327
Measure, atomic measure      337
Measure, atomless measure      337
Measure, Baire [Borel] measure      306
Measure, Dirac measure      306
Measure, ergodic measure      423
Measure, Haar measure      319
Measure, harmonic measure      326
Measure, invariant measure      422
Measure, Jordan measure      288
Measure, measure orthogonal to a subspace      370
Measure, order-continuous measure      341 483
Measure, outer measure      298
Measure, product measure      362
Measure, Radon measure      309 322
Measure, regular measure      307
Meet in a Boolean algebra      272
Meet in a Boolean algebra, infinite Boolean meet      285
Merklen, H.      361 531
Metas, N.      454 531
Metric space      45
Metrizable space      45
Meyer, P.A.      413 423 499 500 531
Meyer, P.R.      119 151 531
MI-space      229
Mibu, Y.      119 484 531
Michael, E.      81 232 260 366 367 371 388 397 488 531 532
Milgram, A.N.      132 133 532
Miljutin lemma      376
Miljutin Theorem      379
Miljutin, A.A.      380 381 532
Miller, J.B.      385 557
Milman theorem      427
Milman — Choquet boundary      426
Milman, D.P.      81 110 234 390 395 413 424 427 428 480 525 532
Minimal element      36
Mioduszewski, R.      449 532
Mitchell, B.      32 163 165 179 181 189 207 209 217 226 227 436 446 532
Mitjagin, B.S.      215 351 382 532
Miyanaga, Y.      125 519 532
Mochizuki, N.      428 533
Module over $\mathscr{C}(X)}$       110
Mokobodzki, G.      424
Monic, monomorphism      169
Monk, J.D.      445 533
Monotone continuous map      137
Monotone function on a preordered space      37
Monteiro, A.      445 533
Morita, K.      372 533
Morphism      159 160
Morphism transformation of a functor      174
Morris, P.      84 151 158 339 525 533 559
Mostert, P.S.      254 517 533
Mostowski, A.      156 533
Mrowka, S.      119 122 314 533
Mullins, R.E.      119 234 533 560
Multiplicative map      51
Myers, S.B.      132 232 533
Nachbin, L.      55 81 103 119 136 232 319 453 454 457 533
Nagami, K.      372 534
Nagata, J.      99 132 140 534
Naimark, M.      232 234 295 319 390 414 510 534
Nakahara, I.      234 524 534
Nakamoto, R.      118 534
Nakamura, M.      118 122 246 285 320 323 385 484 534
Nakano, H.      53 59 232 304 445 464 484 514 535
Nakayama, T.      232 535 553
Namioka, I.      53 65 68 84 136 215 232 404 423 428 480 484 501 523 535 560

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