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| Авторизация |
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| Floret K. — Weakly Compact Sets |
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| Предметный указатель |
(LF)-space 6 39
Absolutely convex 1
Angelic 30 36 38 41 42 78
Angelic-theorem 28
Banach-disc 2 17
Barrel 2
Barrel-lemma 3
Bartle, R.G. 89
Bauer's Maximum Principle 6
Best approximation 57 96
Bipolar 1
Buchwalter, H. 48
Cauchy-sequence 56
Cellina, A. 90 92
Closure 33 37
Compatible 2
Completeness criterion 5
Completion 4
Constantinescu, C. 44 47
Convergent sequence 41 44 47 55 98
Convex 53
Convex hull 18 81 82 85
Countably compact 7 18 42 51
De Wilde, M. 33 35 53 56 77 98 100
Dierolf, P. 90 107
Dieudonne, J. 39 60 108
Double-limit-inequality 77
Double-limit-property 11 15 19 48 56 72 78 80 94
Dunford, N. 89 108
Eberlein, W.F. 15 38
Edelstein, M. 83
Extremal 5
Extreme point 5 16 98 112
Fixed point 90
Fremlin, D.H. 32 35
Gauge-functional 1
Govaerts, W. 23 42 81
Grothendieck's completeness criterion 5
Grothendieck, A. 15 20 35 45 105
Hahn — Banach-separation theorem 87
Interchangeable see "Double-limit-property"
James, R.C. 59 65 77 92
Kaplansky, I. 37
Klee, V. 59 85 86 88 92
Koethe, G. 59
Krein, M. 82
Lattice bounded 104 116
Locally compact 20 54
Mackey-topology 2
Mazur, S. 57
Measure 88 116
Metric 20
Metrizable 29 43
Milman, D.P. 92 97
Milman, V.D. 92
minimax 77
Minkowski-functional 1
normal 27
Pettis, B.J. 108
polar 1
Precompact see "Totally bounded"
Proximinal 58 61 65
Pryce, J.D. 35 59 69
Pseudocompact 21 25 27 81
Ptak, V. 25
| Quasicomplete 4 107
Rainwater, J. 98 101
Real-compact 48
Reflexive 3 60 61 77 85 94
Relatively countably compact 7
Relatively sequentially compact 7
Replete 48 56
Repletion 48 55
Schmets, J. 22 53
Schur's lemma 107 116
Schwartz, J.T. 89
Schwartz, L. 39
Semi-reflexive 3 17 25 41 65 84 85 86 87 88
Sequence space 39
Sequential closure 30
Sequentially compact 7 30 31 42
Sequentially complete 107 110
Simons, S. 56 77 80 81 101
Smulian, V.L. 18 30 38 60
Stone — Cech-compactification 47 55
Strong topology 3
Sublinear 67
Tensor-product 111
Theorem, Alaoglu — Bourbaki 1
Theorem, angelic 31
Theorem, bipolar 1
Theorem, De Wilde 33 42
Theorem, Dieudonne — Smulian 60
Theorem, Dunford — Pettis 108 115
Theorem, Eberlein 15 20
Theorem, Eberlein — Grothendieck 15
Theorem, Eberlein — Smulian 38
Theorem, Fremlin 32
Theorem, Grothendieck (C(K)) 45
Theorem, Grothendieck's completeness 5
Theorem, Hahn — Banach-separation 87
Theorem, James 59 61 65 67
Theorem, James double-limit 73
Theorem, Kaplansky 37
Theorem, Krein 82 115
Theorem, Krein — Milman 6
Theorem, Mackey (bounded sets) 3
Theorem, Mackey (compatible topologies) 2
Theorem, Milman 6
Theorem, Nachbin — Shirota 22
Theorem, Peano 92
Theorem, Rainwater 98 101
Theorem, Smulian 30
Theorem, Valdivia 22 24
Thompson, A.C. 83
Topology, bounding-open 45
Topology, compact-open 26 45
Topology, pointwise convergence 11
Topology, weak 1
Tsitsas, L. 113
Tweddle, I. 53 89 98 100
Tychonoff — Plank 21
Uniformly convex 92
Uniformly integrable 103 108
Valdivia, M. 22 24
Vector-measure 88 96 97
Weakly compact 15 18 22 24 25 30 31 38 59 65 66 84 86 88 91 100
Weakly compact operator 6 97
Weakly complete 3 107
Weakly countably compact 15 30 31 38
Weakly sequentially compact 30 31 38
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