Linear Operators: General theory |
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Page 762
... Amer . Math . Soc . 39 , 397-400 ( 1933 ) . Harazov , D. F. 1 . 2 . 3 . On a class of linear equations in Hilbert ... Amer . J. Math . 69 , 193–199 ( 1947 ) . 2 . 3 . 4 . 5 . 6 . 7 . 8 . 9 . 10 . 11 . 12 . 13 . On the essential spectra ...
... Amer . Math . Soc . 39 , 397-400 ( 1933 ) . Harazov , D. F. 1 . 2 . 3 . On a class of linear equations in Hilbert ... Amer . J. Math . 69 , 193–199 ( 1947 ) . 2 . 3 . 4 . 5 . 6 . 7 . 8 . 9 . 10 . 11 . 12 . 13 . On the essential spectra ...
Page 790
... Amer . Math . Soc . 52 , 167-174 ( 1946 ) . A second note on weak differentiability of Pettis integrals . Bull . Amer . Math . Soc . 52 , 668-670 ( 1946 ) . Müntz , Ch . H. 1. Über den Approximationssatz von Weierstrass . Math ...
... Amer . Math . Soc . 52 , 167-174 ( 1946 ) . A second note on weak differentiability of Pettis integrals . Bull . Amer . Math . Soc . 52 , 668-670 ( 1946 ) . Müntz , Ch . H. 1. Über den Approximationssatz von Weierstrass . Math ...
Page 797
... Amer . Math . Soc . 39 , 259-260 ( 1933 ) . 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 . Colloquium ...
... Amer . Math . Soc . 39 , 259-260 ( 1933 ) . 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 . Colloquium ...
Contents
8 | 28 |
Algebraic Preliminaries | 34 |
Three Basic Principles of Linear Analysis | 49 |
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A₁ additive set function algebra Amer analytic arbitrary B-space ba(S Banach Borel sets ca(S Cauchy sequence compact Hausdorff space compact operator complex numbers contains continuous functions converges convex set Corollary countably additive DEFINITION dense differential disjoint Doklady Akad E₁ element equation exists f₁ finite dimensional function defined function f Hausdorff space Hence Hilbert space homeomorphism implies inequality integral isometric isomorphism L₁ L₁(S Lebesgue Lemma Let f linear map linear operator linear topological space Math measurable functions measure space metric space Nauk SSSR N. S. neighborhood non-negative normed linear space o-field o-finite open set operator topology positive measure space Proc PROOF properties proved real numbers Riesz 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