Linear Operators: General theory |
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Page 376
... meaning- meaning- meaning- in X = Y * 13.13 13.14 less less less Miscellaneous 6.18 6.18 6.16 , 6.17 , Properties 13.13 13.14 6.19 6.19 6.26 ( F4 ) ( F4 ) ( F4 ) ( F4 ) V.8.8 ( F4 ) 13.76 13.50 13.51 13.63 13.64 13.65 13.66 ( F4 ) In a ...
... meaning- meaning- meaning- in X = Y * 13.13 13.14 less less less Miscellaneous 6.18 6.18 6.16 , 6.17 , Properties 13.13 13.14 6.19 6.19 6.26 ( F4 ) ( F4 ) ( F4 ) ( F4 ) V.8.8 ( F4 ) 13.76 13.50 13.51 13.63 13.64 13.65 13.66 ( F4 ) In a ...
Page 378
... meaning- meaning- in X = Y * less less Miscellaneous 11.7 , V.8.11 13.48 13.35 12.3 13.36 Properties 13.53 , 8.23 13.63 ( F5 ) ( F5 ) 13.69 , 8.26 13.73 13.77 ( F5 ) 13.71 ( F4 ) ( F7 ) Note , however , the result given in 13.46 . ( F8 ) ...
... meaning- meaning- in X = Y * less less Miscellaneous 11.7 , V.8.11 13.48 13.35 12.3 13.36 Properties 13.53 , 8.23 13.63 ( F5 ) ( F5 ) 13.69 , 8.26 13.73 13.77 ( F5 ) 13.71 ( F4 ) ( F7 ) Note , however , the result given in 13.46 . ( F8 ) ...
Page 379
... meaning- meaning- less less ( F7 ) Weak Completeness no 13.37 no yes meaning- meaning- 13.38 4.7 less less Reflexivity no no yes meaning- meaning- 13.37 13.38 4.6 less less Strongly 13.37 13.39 13.45 11.1 13.47 Compact Sets Weakly 13.37 ...
... meaning- meaning- less less ( F7 ) Weak Completeness no 13.37 no yes meaning- meaning- 13.38 4.7 less less Reflexivity no no yes meaning- meaning- 13.37 13.38 4.6 less less Strongly 13.37 13.39 13.45 11.1 13.47 Compact Sets Weakly 13.37 ...
Contents
A Settheoretic Preliminaries | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries | 34 |
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A₁ Acad additive set function algebra Amer analytic arbitrary B-space ba(S Banach spaces Borel sets ca(S Cauchy sequence compact Hausdorff space compact operator complex numbers contains continuous functions converges convex set Corollary countably additive DEFINITION dense disjoint Doklady Akad E₁ element exists f₁ finite dimensional function defined function f g₁ Hausdorff space Hence Hilbert space homeomorphism implies inequality integral isometric isomorphism K₁ L₁ L₁(S Lebesgue Lemma Let f linear manifold linear map linear operator linear topological space measurable functions measure space metric space Nauk SSSR N. S. neighborhood non-negative o-field o-finite open set operator topology positive measure space Proc PROOF properties proved real numbers reflexive Riesz S₁ scalar semi-group sequentially compact Show subset subspace Suppose theory topological space u-measurable uniformly weak topology weakly compact weakly sequentially compact zero ΕΕΣ