Linear Operators: General theory |
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Page 741
... Acad . Sci . Paris 183 , 24-26 ( 1926 ) . Brodskii , M. S. , and Milman , D. P. 1. On the center of a convex set ... Acad . Sci . U.S.A. 38 , 230–235 ( 1952 ) . 2. The Dirichlet and vibration problems for linear elliptic differential ...
... Acad . Sci . Paris 183 , 24-26 ( 1926 ) . Brodskii , M. S. , and Milman , D. P. 1. On the center of a convex set ... Acad . Sci . U.S.A. 38 , 230–235 ( 1952 ) . 2. The Dirichlet and vibration problems for linear elliptic differential ...
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 814
... Acad . 27 , 159-161 ( 1951 ) . Sunouchi , S. ( see Nakamura , M. ) Sylvester , J. J. 1. On the equation to the secular inequalities in the planetary theory . Phil . Mag . 16 , 267-269 ( 1883 ) . Reprinted in Collected Papers 4 , 110–111 ...
... Acad . 27 , 159-161 ( 1951 ) . Sunouchi , S. ( see Nakamura , M. ) Sylvester , J. J. 1. On the equation to the secular inequalities in the planetary theory . Phil . Mag . 16 , 267-269 ( 1883 ) . Reprinted in Collected Papers 4 , 110–111 ...
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