Linear Operators: General theory |
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Page 770
... Acad . Tokyo 13 , 93-94 ( 1937 ) . 2 . 3 . 4 . Weak topology and regularity of Banach spaces . Proc . Imp . Acad . Tokyo 15 , 169-173 ( 1939 ) . Weak topology , bicompact set and the principle of duality . Proc . Imp . Acad . Tokyo 16 ...
... Acad . Tokyo 13 , 93-94 ( 1937 ) . 2 . 3 . 4 . Weak topology and regularity of Banach spaces . Proc . Imp . Acad . Tokyo 15 , 169-173 ( 1939 ) . Weak topology , bicompact set and the principle of duality . Proc . Imp . Acad . Tokyo 16 ...
Page 774
... Acad . Tokyo 16 , 274-279 ( 1940 ) . 2. Une remarque sur les projections dans certains espaces du type ( B ) . Proc . Imp . Acad . Tokyo 17 , 238–240 ( 1941 ) . Koopman , B. O. 1. Hamiltonian systems and transformations in Hilbert space ...
... Acad . Tokyo 16 , 274-279 ( 1940 ) . 2. Une remarque sur les projections dans certains espaces du type ( B ) . Proc . Imp . Acad . Tokyo 17 , 238–240 ( 1941 ) . Koopman , B. O. 1. Hamiltonian systems and transformations in Hilbert space ...
Page 791
... Acad . Tokyo 18 , 333-335 ( 1942 ) . Nakamura , M. , and Umegaki , H. 1. A remark on theorems of Stone and Bochner . Proc . Japan Acad . 27 , 506–507 ( 1951 ) . Nakano , H. 1 . 2 . 3 . 4 . 5 . 6 . Topology and linear topological spaces ...
... Acad . Tokyo 18 , 333-335 ( 1942 ) . Nakamura , M. , and Umegaki , H. 1. A remark on theorems of Stone and Bochner . Proc . Japan Acad . 27 , 506–507 ( 1951 ) . Nakano , H. 1 . 2 . 3 . 4 . 5 . 6 . Topology and linear topological spaces ...
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