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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 B₁ ba(S Banach spaces Borel sets Cauchy sequence compact operator complex numbers contains continuous functions continuous linear converges convex set Corollary countably additive DEFINITION denote dense differential equations disjoint Doklady Akad domain E₁ element exists f₁ finite dimensional finite number function defined function f Hausdorff space Hence Hilbert space homeomorphism inequality integral L₁ L₁(S Lebesgue Lemma Let f linear functional linear map linear operator linear topological space measurable function measure space metric space Nauk SSSR N. S. neighborhood non-negative o-field open set operator topology positive measure space Proc PROOF proved real numbers Riesz Russian S₁ scalar semi-group sequentially compact Show spectral strong operator topology subset subspace Suppose T₁ theory topological space u-integrable u-measurable uniformly unit sphere valued function weakly compact zero ΕΕΣ