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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 798
... Akad . Nauk SSSR ( N. S. ) 33 , 12–14 ( 1941 ) . Universal K - spaces . Doklady Akad . Nauk SSSR ( N. S. ) 49 , 8-11 ( 1945 ) . On the decomposition of K - spaces into elementary spaces . Doklady Akad . Nauk SSSR ( N. S. ) 49 , 168-171 ...
... Akad . Nauk SSSR ( N. S. ) 33 , 12–14 ( 1941 ) . Universal K - spaces . Doklady Akad . Nauk SSSR ( N. S. ) 49 , 8-11 ( 1945 ) . On the decomposition of K - spaces into elementary spaces . Doklady Akad . Nauk SSSR ( N. S. ) 49 , 168-171 ...
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
Preliminary Concepts | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries | 34 |
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A₁ Acad additive set function algebra Amer analytic arbitrary B-space B₁ 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 ergodic exists f₁ finite dimensional function defined function f 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-integrable u-measurable uniformly weak topology weakly compact weakly sequentially compact zero ΕΕΣ