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Page 776
... Doklady Akad . Nauk SSSR ( N. S. ) 56 , 559–561 ( 1947 ) . ( Russian ) Math . Rev. 9 , 242 ( 1948 ) . On the extension of Hermitian operators with a nondense domain of definition . Doklady Akad . Nauk SSSR ( N. S. ) 59 , 13-16 ( 1948 ) ...
... Doklady Akad . Nauk SSSR ( N. S. ) 56 , 559–561 ( 1947 ) . ( Russian ) Math . Rev. 9 , 242 ( 1948 ) . On the extension of Hermitian operators with a nondense domain of definition . Doklady Akad . Nauk SSSR ( N. S. ) 59 , 13-16 ( 1948 ) ...
Page 798
... Doklady Akad . Nauk SSSR ( N. S. ) 36 , 227-230 ( 1942 ) . On normed K - spaces . Doklady Akad . Nauk SSSR ( N. S. ) 33 , 12–14 ( 1941 ) . Universal K - spaces . Doklady Akad . Nauk SSSR ( N. S. ) 49 , 8-11 ( 1945 ) . On the ...
... Doklady Akad . Nauk SSSR ( N. S. ) 36 , 227-230 ( 1942 ) . On normed K - spaces . Doklady Akad . Nauk SSSR ( N. S. ) 33 , 12–14 ( 1941 ) . Universal K - spaces . Doklady Akad . Nauk SSSR ( N. S. ) 49 , 8-11 ( 1945 ) . On the ...
Page 810
... Doklady 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 ...
... Doklady 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 ...
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