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Page 777
... Sbornik N. S. 33 ( 75 ) , 597-626 ( 1953 ) . ( Russian ) Math . Rev. 15 , 720 ( 1954 ) . 8 . 9 . 10 . 11 . 12 . 13 . 14 . 15 . 16 . 17 . 18 . 19 . The theory of self - adjoint extensions of semi - bounded Hermitian operators and its ...
... Sbornik N. S. 33 ( 75 ) , 597-626 ( 1953 ) . ( Russian ) Math . Rev. 15 , 720 ( 1954 ) . 8 . 9 . 10 . 11 . 12 . 13 . 14 . 15 . 16 . 17 . 18 . 19 . The theory of self - adjoint extensions of semi - bounded Hermitian operators and its ...
Page 810
... ( N. S. ) 18 , 255-257 ( 1938 ) . 2. Schwache Kompaktheit in den Banachschen Räumen . Doklady Akad . Nauk SSSR ( N. S. ) ... Sbornik N. S. 5 ( 47 ) , 317-328 ( 1939 ) . ( Russian . English summary ) Math . Rev. 1 , 335 ( 1940 ) . On some ...
... ( N. S. ) 18 , 255-257 ( 1938 ) . 2. Schwache Kompaktheit in den Banachschen Räumen . Doklady Akad . Nauk SSSR ( N. S. ) ... Sbornik N. S. 5 ( 47 ) , 317-328 ( 1939 ) . ( Russian . English summary ) Math . Rev. 1 , 335 ( 1940 ) . On some ...
Page 811
... Sbornik N. S. 15 ( 57 ) , 343–346 ( 1944 ) . ( Russian . English summary ) Math . Rev. 6 , 276 ( 1945 ) . 15. Isometric operators with infinite deficiency indices and their orthogonal extensions . Doklady Akad . Nauk SSSR ( N. S. ) 87 ...
... Sbornik N. S. 15 ( 57 ) , 343–346 ( 1944 ) . ( Russian . English summary ) Math . Rev. 6 , 276 ( 1945 ) . 15. Isometric operators with infinite deficiency indices and their orthogonal extensions . Doklady Akad . Nauk SSSR ( N. S. ) 87 ...
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