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 no no yes meaning- meaning- Completeness 13.37 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 no no yes meaning- meaning- Completeness 13.37 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 continuous linear converges convex set Corollary countably additive DEFINITION disjoint Doklady Akad E₁ element exists f₁ finite dimensional function defined function f Hausdorff space Hence Hilbert space integral isometric isomorphism K₁ L₁ L₁(S Lebesgue Lemma Let f linear functional 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 Russian S₁ scalar semi-group sequentially compact Show subset subspace Suppose theory TM(S topological space u-integrable u-measurable uniformly weak topology weakly compact weakly sequentially compact zero ΕΕΣ