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 377
... meaning- less 9.15 13.24 meaning- less Miscellaneous 9.11 ( b ) III.7.5 ( F5 ) 13.51 , 8.22 13.49 , 8.10 Properties III.7.5 III.7.6 . 13.53 , 8.26 13.51 , 8.13 III.7.6 9.8 13.62 , 11.7 13.53 , 8.14 13.50 ( F5 ) 13.71 ( F6 ) 13.54 , 8.22 ...
... meaning- less 9.15 13.24 meaning- less Miscellaneous 9.11 ( b ) III.7.5 ( F5 ) 13.51 , 8.22 13.49 , 8.10 Properties III.7.5 III.7.6 . 13.53 , 8.26 13.51 , 8.13 III.7.6 9.8 13.62 , 11.7 13.53 , 8.14 13.50 ( F5 ) 13.71 ( F6 ) 13.54 , 8.22 ...
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... meaning- meaning- less less ( F7 ) Weak Completeness no no yes meaning- meaning- 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 Completeness no no yes meaning- meaning- 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
Preliminary Concepts | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries | 34 |
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A₁ Acad additive set function algebra Amer analytic arbitrary B-space B₁ 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 ergodic exists f₁ finite dimensional function defined function f 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-integrable u-measurable uniformly weak topology weakly compact weakly sequentially compact zero ΕΕΣ