|
|
 |
| Авторизация |
|
|
|
| Поиск по указателям |
|
|
|
|
|
|
|
 |
|
|
|
| Köthe G. — Topological vector spaces I |
|
|
|
| Предметный указатель |
Finer uniformity 30
Finite coordinate space 53
Finite dimensional topological vector spaces 151 ff.
Finite vector 53
Finitely additive 424
First axiom of countability 19
First category 28
Fischer, E. 142
Fischer, H.R. 121
Fleischer, I. 121
Frechet derivative 364
Frechet, M. 164
Freundlich-Smith, A. 309
Function 6
Fundamental sequence of bounded sets 392
Fundamental set 132 237
Fundamental system of neighbourhoods 3
Garling, D.J.H. 372 423
Gateaux derivative 349
Gauge 46
Glicksberg, I. 366
Gomes, A.P. 371 421
Graph 167
Greatest lower bound 9
Greatest lower bound of a collection of functions 41
Gross, H. 121
Grothendieck, A. 115 225 265 266 269 270 310 313 318 324 326 378 392 396 398 403 404 405 434 436
Grothendieck’s theorem 269
Hagemann, E. 121 431
Hahn — Banach theorem 188 ff. 196
Hahn, H. 189
Half-space 179
Hammer, P.C. 186
Hausdorff separation axiom 3
Hausdorff space 3
Hausdorff, F. 252 260
Helly, E. 189
Henriques, P. 270
Hermes, H. 10
Hewitt, E. 425
Hilbert cube 29
Hilbert parallelotope 29
Hilbert space 23
Hille, E. 130
Hoelder’s inequality 135 140
Homeomorphism 2
Homogeneous 103
Homomorphism 59
Hull topology 215
Hyers, D.H. 159 162
Hypercone 184
Hyperplane 56 157 180
Image set 6
Image space 6 60
Image-filter 13
Indicatrix 373
Induced topology 4
Inductive limit 219
Ingleton, W.A. 121
Inhomogeneous 103
Injection 60
Integrable 139
Interchangeable double limits 326
Interior 4
Interior point 4
Internal point 176 ff.
Intersection of topologies 5
Intersection,  57
Inverse 6 61
Inverse image 6
Inverse space 60
Inverse-image filter 13
Inversely directed 9
Invertible 61 66
Involution 428
Isolated point 4
Isometric 23
Isomorphic algebras 65
Isomorphic dual pairs 85
Isomorphic lattices 57
Isomorphic uniform spaces 30
Isomorphic vector spaces 53
Iterated duals 304 (see also “Bidual” “
James, R.C. 300 366 431
Kadison, R.V. 335
Kakutani, S. 187 431
Kamke, E. 9 10
Kantorovitch, L.V. 425 427
Kaplansky, I. 75
Kaplansky’s Theorem 312
Kelly, J.L. 1 305
Kernel 60 226 292
Kernel topology 226 292
Klee, V.L. 165 173 178 194 268 322 337 339 341 347
Klee’s theorems 319 ff.
Koethe, G. 48 113 120 121 378 415 421 423 432 434 436
Kolmogroff, A. 145 160
Komatuzaki, H. 431
Komura, T. 419 423
Komura, Y. 222 268 369 388 404 419 423
Krein — Milman theorem 331 336 339
Krein, M. 325
Krein’s theorem 325 326 336
Kronecker product 81
Landsberg, M. 160 162
Lattice 57
Least upper bound 9
Least upper bound of a collection of functions 41
Lebesgue, H. 252
Lebesgue’s theorem 324
Leeuw, K. de 353
Lefschetz, S. 1 3 48 82 95 109 115 233
Lefschetz’s theorem 109 115
Left inverse 61 66
Left reciprocal 61
Length of a vector 106
Leptin, H. 121
Limes inferior 39
Limes superior 39
LIMIT 10 12
linear combination 50
Linear equation 103 ff.
Linear form 69
Linear functional 69
Linear group 60
Linear manifold 50
Linear mapping 59
Linear matrix rmg 65
Linear metric space 164 ff.
Linear space 48
Linear span 50
Linear strong topology see “ ”
Linear subspace 50 148 207 275 279 282 401 424
Linear system 85
Linear topology 82
Linear transformation 59
Linear weak topology see “ ”
Linearly bounded 113 116
Linearly compact 95 108
Linearly dependent 50
Linearly independent 50
Linearly precompact 116
Linearly topologized space 83
Local convergence 382
Locally bounded linear functional 379
Locally bounded linear mapping 381
Locally bounded topological vector space 159 ff.
Locally compact 20 42 155 250 338 340 341 343 345
Locally continuous 383
Locally convex direct sum 211 ff. 283 296 299 303 370
| Locally convex hull 215 ff. 292 368 381 383 402
Locally convex kernel 226 292
Locally convex topological vector space 202 208 232 250 258
Locally holomorphic 139 375
Locally linearly compact 108
Locally uniformly convex 366
Loomis, L.H. 130
Lovaglia, A.R. 366
Lower bound 9
Lower limit 39
Lower semi-continuous 40 258
Mackey convergence 382
Mackey topology see “ ”
Mackey — Arens theorem 98 260
Mackey — Ulam theorem 392
Mackey, G.W. 48 85 260 380 384 387 392
Mackey’s theorem 254
Mapping 6
Matrix 63
Matrix product 64
Matthews, G. 423
Maximal 9
Maximal linear matrix ring 65
Mazur, S. 188 259 347 351 366
McShane E.J. 357
Meagre 28 166
Measure 138
Meray, C. 25
Metric 23
Metric space 23
Metrizable 43 45 163 170 205 228 245 251 263 265 272 273 301 311 380 393 400 401 403
Milman — Rutman theorem 336 337
Milman, D.P. 332 336 354
Milman’s theorem 332 341
Minimal 9
Minimal supporting facet 336 ff.
Minkowski functional 159 180
Minkowski, H. 123
Minkowski’s inequality 135 140
Modular lattice 58
Module of concavity 161
Module of convexity 353
Monna, R.F. 121
Monomorphism 60
Monotonic decreasing net 38
Monotonic increasing net 38
Montel space see “(M)-space”
Montel’s theorem 373
Murray, F.J. 428
Nachbin, L. 121 380
Naimark, M.A. 130
Natanson, I.P. 198 199
Natural embedding 276
Natural homomorphism 93 275
Natural topology 300
Nearest point 343
Nearest-point mapping 344
Neighbourhood 2
Neighbourhood filter 12
Neighbourhood of a set 4
Net 10
Net corresponding to a filter 12
Neumann, J. von 145
Neumer, W. 75
Nikodym, O. 178
Norm 123
Norm isomorphic 125
Normable 150 160 393
normal 22
Normal cover 407 417
Normal form 113
Normal sequence space 405
Normal set 408
Normal topology of a sequence space 407
Normalized 200
Normed algebra 130
Normed space 123 263 279 337 342 403
Nowhere dense 4
NULL-SPACE 60
Nullity 66 103
One-point compactification 21
Open ball of radius r 24
Open mapping 6 (see also “Topological homomorphism”)
Open neighbourhood 374
Open set 1
Ornstein, D. 431
Orthogonal 70
Orthogonal Space 70
Orthogonally closed 71 85 120 236
P-convex 160
p-Norm 160
p-normable 160
parallel 50
Parallelotope 8
Partial continuity 8
Partially compact (weakly) 317
Partially ordered 9
Pelczynski, A. 166
Perfect 406
Phillips, R.S. 130 325 427
Pietsch, A. 423
Point at infinity 22
Point measure 324
Point of smoothness 345 ff. 349 350
Point of support 193
Pointed cone 183
Pointwise convergence 323
polar 245
Polar reflexive 308
Polar semi-reflexive 308
Polar topology 266
Pontryagin duality theorem 310
Pontryagin, L. 310
Positive measure 334 339
Positive vector 407
Positive-homogeneous 180 188
Precompact 26 36 153 155 266 273 385
Product of uniform spaces 37
Product of vector spaces 56
Product-filter 14
Projection 8 60 428 431
Projection of a filter 14
Projective limit 229 ff.
Proper cone 183
Pseudo-compact 315
Ptak, V. 271 316 318 330
Ptak’s lemma 316
Ptak’s theorem 326
Quadratic form 122
Quasi-barrelled 301 367 379 388 396 399 400
Quasi-closed 296
Quasi-closure 296
Quasi-complete 210 278 295 299 305 309 313 318 319 325 402
Quasi-completion 297 306
Quasi-norm 159
Quasi-reflexive 304
Quotient space 50 90 99 120 127 149 207 275 279 296 304 368 383 401 434 435
Quotient space topology 90 127 149
Raikow, D.A. 233
Rank 66 78 103
Real hyperplane 180 186 243 320 322
Real locally convex space 208 243 273 328 344
Real vector space 49
Reciprocal 61
Reduced form 290
Reflexive 9 129 302 308 309 315 354 360 369 372 389 396 400 434
Reflexive dual pair 304 ff.
Regular 15
Relatively compact 17
Restriction of a filter 12
|
|
|
| Реклама |
|
|
|
|
|
О проекте