Linear Operators: General theory |
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Page 762
Amer . Math . Soc . 39 , 397-400 ( 1933 ) . Harazov , D. F. 1. On a class of linear equations in Hilbert spaces . Soobščeniya Akad . Nauk Gruzin . SSR 13 , 65-72 ( 1952 ) . ( Russian ) Math . Rev. 14 , 990 ( 1953 ) . 2 .
Amer . Math . Soc . 39 , 397-400 ( 1933 ) . Harazov , D. F. 1. On a class of linear equations in Hilbert spaces . Soobščeniya Akad . Nauk Gruzin . SSR 13 , 65-72 ( 1952 ) . ( Russian ) Math . Rev. 14 , 990 ( 1953 ) . 2 .
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Amer . J. Math . 76 , 831-838 ( 1954 ) . Hartman , P. , and Putnam , C. 1 . The least cluster point of the spectrum of boundary value problems . Amer . J. Math . 70 , 847–855 ( 1948 ) . 2 . The gaps in the essential spectra of wave ...
Amer . J. Math . 76 , 831-838 ( 1954 ) . Hartman , P. , and Putnam , C. 1 . The least cluster point of the spectrum of boundary value problems . Amer . J. Math . 70 , 847–855 ( 1948 ) . 2 . The gaps in the essential spectra of wave ...
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Bull . Amer . Math . Soc . 39 , 259-260 ( 1933 ) . 3 . Some theorems on orthogonal functions . Studia Math . 3 , 226-238 ( 1931 ) . Paley , R. E. A. C. , and Wiener , N. 1. Fourier transforms in the complex domain . Amer . Math . Soc .
Bull . Amer . Math . Soc . 39 , 259-260 ( 1933 ) . 3 . Some theorems on orthogonal functions . Studia Math . 3 , 226-238 ( 1931 ) . Paley , R. E. A. C. , and Wiener , N. 1. Fourier transforms in the complex domain . Amer . Math . Soc .
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Contents
Preliminary Concepts | 1 |
B Topological Preliminaries | 10 |
quences | 26 |
Copyright | |
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Acad algebra Amer analytic applied arbitrary assumed B-space Banach Banach spaces bounded called clear closed compact complex condition contains continuous functions converges convex Corollary countably additive defined DEFINITION denote dense determined differential disjoint Doklady Akad element equation equivalent everywhere Exercise exists extension field finite follows function defined function f given Hence Hilbert space implies inequality integral interval isomorphism Lebesgue Lemma limit linear functional linear operator linear space mapping Math meaning measure space metric neighborhood norm operator positive measure problem Proc Proof properties proved respect Russian satisfies scalar seen semi-group separable sequence set function Show shown sphere statement subset sufficient Suppose Theorem theory topological space topology transformations u-measurable uniform uniformly unique unit valued vector weak weakly compact zero