Linear Operators: General theory |
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Page 776
... Akad . Vēstis 1950 no . 10 ( 39 ) , 93–106 ( 1950 ) . ( Russian . Latvian summary ) Math . Rev. 15 , 440 ( 1954 ) ... Akad . Nauk SSSR ( N. S. ) 56 , 559–561 ( 1947 ) . ( Russian ) Math . Rev. 9 , 242 ( 1948 ) . On the extension of ...
... Akad . Vēstis 1950 no . 10 ( 39 ) , 93–106 ( 1950 ) . ( Russian . Latvian summary ) Math . Rev. 15 , 440 ( 1954 ) ... Akad . Nauk SSSR ( N. S. ) 56 , 559–561 ( 1947 ) . ( Russian ) Math . Rev. 9 , 242 ( 1948 ) . On the extension of ...
Page 810
... Akad . Nauk SSSR ( N. S. ) 18 , 255-257 ( 1938 ) . 2 . Schwache Kompaktheit in den Banachschen Räumen . Doklady Akad . Nauk SSSR ( N. S. ) 28 , 199-202 ( 1940 ) . 3. Weak compactness in Banach spaces . Studia Math . 11 , 71-94 ( 1950 ) ...
... Akad . Nauk SSSR ( N. S. ) 18 , 255-257 ( 1938 ) . 2 . Schwache Kompaktheit in den Banachschen Räumen . Doklady Akad . Nauk SSSR ( N. S. ) 28 , 199-202 ( 1940 ) . 3. Weak compactness in Banach spaces . Studia Math . 11 , 71-94 ( 1950 ) ...
Page 819
... Akad . Nauk SSSR ( N. S. ) 52 , 95-98 ( 1946 ) . Sur les opérations linéaires multiplicatives . Doklady Akad . Nauk SSSR ( N. S. ) 52 , 383–386 ( 1946 ) . 7. Sur quelques opérations non - linéaires dans les espaces semi - ordonnés ...
... Akad . Nauk SSSR ( N. S. ) 52 , 95-98 ( 1946 ) . Sur les opérations linéaires multiplicatives . Doklady Akad . Nauk SSSR ( N. S. ) 52 , 383–386 ( 1946 ) . 7. Sur quelques opérations non - linéaires dans les espaces semi - ordonnés ...
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