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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 777
... Doklady 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 ...
... Doklady 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 ...
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
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 continuous linear converges convex set Corollary countably additive DEFINITION disjoint Doklady Akad E₁ element exists f₁ finite dimensional function defined function f Hausdorff space Hence Hilbert space integral isometric isomorphism K₁ L₁ L₁(S Lebesgue Lemma Let f linear functional 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 Russian 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