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Page 747
... 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 convexity and smoothness of normed spaces . Trans . Amer ...
... 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 convexity and smoothness of normed spaces . Trans . Amer ...
Page 810
... Banachschen Räumen . Doklady Akad . Nauk SSSR ( N. S. ) 28 , 199-202 ( 1940 ) . 3. Weak compactness in Banach spaces . Studia Math . 11 , 71-94 ( 1950 ) . Skorohod , A. ( see Kostyučenko , A. ) Slobodyanskii , M. G. 1. On estimates for ...
... Banachschen Räumen . Doklady Akad . Nauk SSSR ( N. S. ) 28 , 199-202 ( 1940 ) . 3. Weak compactness in Banach spaces . Studia Math . 11 , 71-94 ( 1950 ) . Skorohod , A. ( see Kostyučenko , A. ) Slobodyanskii , M. G. 1. On estimates for ...
Page 815
... Banach spaces . Revista Ci . , Lima 42 , 355–366 ( 1940 ) ; 43 , 465-474 ( 1941 ) ; 44 , 45–63 ( 1942 ) . 3 . 4 . 5 . 6 . 7 . 8 . The weak topologies of Banach spaces . Proc . Nat . Acad . Sci . U.S.A. 25 , 438-440 ( 1939 ) . On certain ...
... Banach spaces . Revista Ci . , Lima 42 , 355–366 ( 1940 ) ; 43 , 465-474 ( 1941 ) ; 44 , 45–63 ( 1942 ) . 3 . 4 . 5 . 6 . 7 . 8 . The weak topologies of Banach spaces . Proc . Nat . Acad . Sci . U.S.A. 25 , 438-440 ( 1939 ) . On certain ...
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