Linear Operators: General theory |
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Page 747
... Math . Soc . 69 , 276-291 ( 1950 ) . 9. Operations in Banach spaces . Trans . Amer . Math . Soc . 51 , 583-608 ( 1942 ) . 10. Ergodic theorems for abelian semi - groups . Trans . Amer . Math . Soc . 51 , 399-412 ( 1942 ) . 11. Strict ...
... Math . Soc . 69 , 276-291 ( 1950 ) . 9. Operations in Banach spaces . Trans . Amer . Math . Soc . 51 , 583-608 ( 1942 ) . 10. Ergodic theorems for abelian semi - groups . Trans . Amer . Math . Soc . 51 , 399-412 ( 1942 ) . 11. Strict ...
Page 762
... Math . Ann . 73 , 371–412 ( 1913 ) . Hanson , E. H. 1. A note on compactness . Bull . Amer . Math . Soc . 39 , 397-400 ( 1933 ) . Harazov , D. F. 1 . 2 . 3 . On a class of linear equations in Hilbert spaces . Soobščeniya Akad . Nauk ...
... Math . Ann . 73 , 371–412 ( 1913 ) . Hanson , E. H. 1. A note on compactness . Bull . Amer . Math . Soc . 39 , 397-400 ( 1933 ) . Harazov , D. F. 1 . 2 . 3 . On a class of linear equations in Hilbert spaces . Soobščeniya Akad . Nauk ...
Page 790
... Math . J. 5 , 520–534 ( 1939 ) . 2. On the supporting - plane property of a convex body . Bull . Amer . Math . Soc . 46 , 482-489 ( 1940 ) . Munroe , M. E. 1. Absolute and unconditional convergence in Banach spaces . Duke Math . J. 13 ...
... Math . J. 5 , 520–534 ( 1939 ) . 2. On the supporting - plane property of a convex body . Bull . Amer . Math . Soc . 46 , 482-489 ( 1940 ) . Munroe , M. E. 1. Absolute and unconditional convergence in Banach spaces . Duke Math . J. 13 ...
Contents
8 | 28 |
Algebraic Preliminaries | 34 |
Three Basic Principles of Linear Analysis | 49 |
Copyright | |
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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