Linear Operators: General theory |
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Page 776
... Perturbation of differential operators . Dissertation , Univ . of California at Berkeley , 1954 . Kramer , V. A. 1. Investigations in asymptotic perturbation series . Dissertation , Univ . of California at Berkeley , 1954 . 2 ...
... Perturbation of differential operators . Dissertation , Univ . of California at Berkeley , 1954 . Kramer , V. A. 1. Investigations in asymptotic perturbation series . Dissertation , Univ . of California at Berkeley , 1954 . 2 ...
Page 781
... perturbations . Doklady Akad . Nauk SSSR ( N. S. ) 48 , 79-81 ( 1945 ) . On degenerate regular perturbations , I , II . I. Akad . Nauk SSSR Zhurnal Eksper . Teoret . Fiz . 17 , 1017–1025 ( 1947 ) . II . ibid . 17 , 1076-1089 ( 1947 ) ...
... perturbations . Doklady Akad . Nauk SSSR ( N. S. ) 48 , 79-81 ( 1945 ) . On degenerate regular perturbations , I , II . I. Akad . Nauk SSSR Zhurnal Eksper . Teoret . Fiz . 17 , 1017–1025 ( 1947 ) . II . ibid . 17 , 1076-1089 ( 1947 ) ...
Page 852
... Perturbation of bounded linear opera- tors , remarks on , ( 611-612 ) study of , VII.6 , VII.8.1-2 ( 597- 598 ) , VII.8.4-5 ( 598 ) Perturbation of infinitesimal generator of a semigroup , ( 630-639 ) Phillips ' perturbation theorem ...
... Perturbation of bounded linear opera- tors , remarks on , ( 611-612 ) study of , VII.6 , VII.8.1-2 ( 597- 598 ) , VII.8.4-5 ( 598 ) Perturbation of infinitesimal generator of a semigroup , ( 630-639 ) Phillips ' perturbation theorem ...
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