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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 777
... Akad . Nauk SSSR ( N. S. ) 30 , 484-488 ( 1941 ) . 7. Infinite J - matrices and a matrix moment problem . Doklady Akad . Nauk SSSR ( N. S. ) 69 , 125-128 ( 1949 ) . ( Russian ) Math . Rev. 11 , 670 ( 1950 ) . On the trace formula in ...
... Akad . Nauk SSSR ( N. S. ) 30 , 484-488 ( 1941 ) . 7. Infinite J - matrices and a matrix moment problem . Doklady Akad . Nauk SSSR ( N. S. ) 69 , 125-128 ( 1949 ) . ( Russian ) Math . Rev. 11 , 670 ( 1950 ) . On the trace formula in ...
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 ) ...
Contents
A Settheoretic Preliminaries | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries | 34 |
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A₁ Acad additive set function algebra Amer analytic arbitrary B-space ba(S Banach spaces Borel sets ca(S Cauchy sequence compact Hausdorff space compact operator complex numbers contains continuous functions converges convex set Corollary countably additive DEFINITION dense disjoint Doklady Akad E₁ element exists f₁ finite dimensional function defined function f g₁ Hausdorff space Hence Hilbert space homeomorphism implies inequality integral isometric isomorphism K₁ L₁ L₁(S Lebesgue Lemma Let f linear manifold linear map linear operator linear topological space measurable functions measure space metric space Nauk SSSR N. S. neighborhood non-negative o-field o-finite open set operator topology positive measure space Proc PROOF properties proved real numbers reflexive Riesz S₁ scalar semi-group sequentially compact Show subset subspace Suppose theory topological space u-measurable uniformly weak topology weakly compact weakly sequentially compact zero ΕΕΣ