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| Semadini Z. — Banach Spaces of Continuous Functions. Vol. 1 |
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| Предметный указатель |
Nanzetta, P. 132 449 464 560
Narici, L. 234 560
Natural transformation [equivalence] 184
Nef, W. 314 535
Negligible sets, ideal of 254
Negrepontis, S. 245 434 501 535 560
Neighborhood 43
Nel, L.D. 119 535
Net 39
Ng, Kung-fu 232 535
Nikodym, O. 298 535
Nirenberg, R. 480 535
Njastad, O. 119 535
Noebeling, G. 125 244 536
Noncompact ordinal 28
Nonnegative linear operator 60
Norm 47
Norm, norm of a measure 289
Norm, supremum norm 74
Normal topological space 99
Normed algebra 50
Normed vector lattice 69
Normed vector space 47
Novak, J. 246 535
Nowhere-dense set 43
Nyikos, P. 488 560
Oates, D.K. 140 560
Object 159 160 342
Object transformation of a functor 174
Ogasawara, T. 464 484 536
Olech, C. 125 536
One-dimensional projection constant 454
One-point compactification 111
Ono, Takashi 454 536
Ono, Tamio 111 536
Open function 44
Open interval 134
Open set 42
Open-closed set 43
Order 33
Order convergence 40 339
Order-bounded 34 60
Order-continuous functional 340 341 483
Order-isomorphic spaces 33
Order-preserving map 37
Order-reversing map 37
Ordered vector space 51
Ordinal 27 151
Orhon, M. 111 560
Orlicz, W. 267 536
Orthogonal, measure to a subspace 370
Outer measure 298
Output 204
Output-preserving functor 224
Oxtoby, J.C. 484 536
P.S. Alexandroff's theorem on semicontinuous decompositions 123
Paalman de Miranda, A.B. 254 536
Pair, ordered 20
Pair, unordered 20
Palmer, T.W. 234 536 560
Panitchpakdi, P. 81 423 454 457 492 536
Panzone, R. 480 535 536
Papert, D. 342 508 536
Papic, P. 136 144 530 536
Paracompact space 354
Partition in a Boolean algebra 272
Partition of a set 26
Partition of a unity 352
Pasynkov, B. 141 536
Peano map 143
Pearcy, C. 133 503 536
Peck, N.T. 81 140 537
Pedersen, g.k. 314 537
Pelczynski, A. 119 125 144 147 150 156 158 215 304 326 339 361 366 367 371 374 375 381 382 383 384 385 388 454 480 488 495 507 527 537 559 560
Perdrizet, F. 488 560
Peressini, A.L. 53 232 537
Perles, M.A. 84 559
Persson, A. 304 537
Pettis, B.J. 293 538
Phelps, R.R. 81 84 361 404 407 413 423 428 466 480 496 497 501 518 538 560
Phillips lemma 301
Phillips theorem 303
Phillips, R.S. 303 453 538
Pierce, R.S. 76 156 232 274 286 449 495 530 538
Pinching a set to a point 87
Pinsker, A.G. 232 314 464 466 521 538
Point functional 78 238
Pointed space 30
Pointwise addition 74 287
Poisson formula 327 390
Ponomarev, V.I. 125 141 143 144 449 490 538
Pontriagin, L.S. 119 539
Popa, N. 454 539
Porcelli, P. 293 480 539
Pospisil, B. 246 285 539
Pothoven, K. 454 560
Poulsen, E.T. 424 539
Power functor 182
Precompact space 106
Preconvergent sequence 46
Preller, A. 281 539
Preorder 33
Preordered vector space 51
Prime component of an ordinal 153
Principal functor 177
Principal ideal 282
Probability measure 309
Prodanov, I. 119 539
Product functor 182
Product of categories 164
Product of measures 362
Product topology 88
Product, cartesian 19 25
Product, categorical 192 193
Product-power functor 236
Proizvolov, V.V. 143 144 539
Projection 110 372
Projection constant 452
Projection, one-dimensional projection constant 454
Projective envelope 445
Projective envelope of a compact space 447
Projective object 430 441
Proper class 19
Proper ideal 232
Proper subset 19
Proskuriakov, I. 151 539
Pseudo-compact space 304
Pseudo-metric space 45
Pseudo-norm 47
Pseudo-uniformizable space 95
Pseudofunction 481
Ptak, V. 249 539
Pull-back 206
Purely finitely additive measure 294
Push-out 206
Pym, J.S. 253 401 540
Quasi-compact space 106
Quasi-disconnected space 431
Quasi-dual category 226
Quasi-isomorphic category 226
Quotient bocof 261
Quotient Boolean algebra 282
Quotient normed vector space 48
Quotient object 172
Quotient preorder 38
Quotient preordered vector space 65
Quotient set 27
Quotient topological space 85
Rademacher functions 157
Rademacher, H. 158
| Radon functor 311
Radon measure 309 322
Radon — Nikodym derivative 330
Radon, J. 314 326 540
Raikov, D.A. 127 244 390 510 540
Rainwater Theorem 428
Rainwater, J. 246 428 445 449 540
Ranga Rao, R. 295 540
RANGE 22 23 24
Rao, M.M. 119 478 560
Real-compact space 245
Real-determinative structure type 235
refinement 26 272
Reflector 179
Regular function 271
Regular measure 307
Regular set 269 272
Regular simplex 424
Regularization 98
Regularization,  -regularization 256
Reichaw-Reichbach, M. 156 523 540
Reid, G.A. 119 540
Relation 27
Relative topology 84
Represent able functor 219
Restriction 23
Reticulated space 34
Retraction 44 167
Ribenboim, P. 53 232 540
Rickart, C.E. 234 390 540
Ridder, J. 293 540
Riedl, J. 232 454 540
Rieffel, M.A. 466 540
Riemann integral 265
Riesz decomposition property 54 423
Riesz decomposition property, restricted Riesz decomposition property 422
Riesz representation theorem 312
Riesz representation theorem for  321
Riesz — Kantorovitch theorem 61
Riesz, P. 53 55 65 267 313 328 541
Rijk, R.P.G. 133 449 493 541
Ring homomorphism 51 274
Ringrose, J.R. 119 541
Roberts, G.T. 342 541
Robinson, R.M. 28
Rogalski, M. 232 391 397 424 426 541 561
Rosenthal, A. 295 363 514 541
Rosenthal, H.P. 304 384 453 454 469 487 488 541 561
Ross, K.A. 144 516 542
Roth, B.G. 111 561
Roy, A.K. 81 561
Royden, H.L. 133 295 319 542 561
Rubin, H. 248 542
Rubin, J.E. 248 542
Rudin, M.E. 354 372 561
Rudin, W. 119 150 151 246 339 371 395 434 522 526 542
Rudolf, L. 449 532 542
Ryll-Nardzewski, C. 151 248 367 528 542 561
Sakai, S. 414 542
Saks, S. 143 295 314 332 334 493 542
Samuel, Christian 384 397 488 558 561
Samuel, Pierre 171 242 542
Sanders, T. 150 542
Sanin, N.A. 144 542
Saskin, Ju.A. 118 542
Scattered space 147 260
Schaefer, H. 65 232 332 543
Schaeffer, J.J. 488 560
Schatten, R. 348 361 478 504 543
Schauder, J.P. 147 543
Schoenbeck, S.O. 81 454 457 543 561
Schoenberg, I.J. 314 517 543
Schreier, J. 333 543
Schur property 303 468 487
Schur theorem 303
Schur, J. 303 543
Schwartz, J.T. (without [DS I] and [DS II]) 326 480 504 543
Schwartz, L. 215
Second conjugate of  481
Second-countable space 43 105
Section 44 167
Seever, G.L. 397 445 454 483 514 543
Segal, I.E. 119 314 480 503 543
Selectively complete category 209
Self-adjoint subalgebra 50
Semadeni, Z. 65 76 103 125 147 150 151 156 181 197 215 232 245 247 260 264 267 281 285 295 332 334 339 375 381 397 401 407 409 423 424 434 441 446 449 453 454 490 510 519 537 543 544 561
Semi-lattice 35
Semibounded set 34
Semicontinuous decomposition 86
Semicontinuous function 97
Semigroup 249
Sentilles, F.D. 326 544
Separable measure algebra 466
Separable topological space 43 103
Separately continuous function 248
Separation of points from closed sets 95
Set 19
Sherbert, D.R. 81 537 544
Shiga, K. 361 491 544
Shirali, S. 234 561
Sidak, Z. 326 544
Sidney, S.J. 234 545
Sierpioski, W. 92 143 156 247 285 530 545
Sierpiriski's theorem on retracts of  142
Sikorski, R. 248 274 277 281 298 442 445 448 449 469 484 529 545
Silov boundary 388
Silov, G. 106 118 122 125 127 132 133 244 390 510 545
Simmons, G.F. 44 545
Simons, S. 428 562
Simple function 136 274
simplex 417
Simplex, regular simplex 424
Sine, R. 81 385 545 562
Singer, I.M. 390 545
Singer, Ivan 147 232 383 492 508 545
Singular measure 294
Skula, L. 245 562
Slobko, T.A. 158 562
Slowikowski, W. 132 546
Small category 161
Smash product 216
Smiley, M.F. 466 546
Smirnov, Ju.M. 106 119 141 546 554
Smulian, V.L. 293 546
Snow, D.O. 480 506 546
Sobczyk theorem 383
Sobczyk, A. 125 339 383 454 546
Sohopf, A. 446 505 543
Solovev, V.A. 232 454 546
Soury, P. 413 559
Spanier, E. 129 546
Spector, R. 132 546
Sreider, Ju. 483 546
Stalk 86
State 404
Steenrod, N. 129 133 162 214 215 244 506 546
Steinhaus, H. 144 147 158 480 520 547
Step-function 264
Stephenson, R.M., Jr. 119 547
Stieltjes, T.J. 313 547
Stochastically independent elements 470 471 472
Stone duality 278
Stone functor 279
Stone integral representation of linear functional 319
Stone representation theorem for Boolean algebra 275
Stone space of a Boolean algebra 235 276
Stone — Cech compactification 235 240 241
Stone — Cech compactification, functor 244
Stone, A.H. 144 355 542 547
Stone, Marshall H. 118 119 122 125 131 132 228 231 232 242 243 274 277 285 286 319 395 434 445 448 464 505 547
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