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 769
... Acad . Sci . Paris 222 , 707-709 ( 1946 ) . Remarques sur les racines carrées hermitiennes d'un opérateur hermitien positif borné . C. R. Acad . Sci . Paris 222 , 829-832 ( 1946 ) . Sur la representation spectrale des racines ...
... Acad . Sci . Paris 222 , 707-709 ( 1946 ) . Remarques sur les racines carrées hermitiennes d'un opérateur hermitien positif borné . C. R. Acad . Sci . Paris 222 , 829-832 ( 1946 ) . Sur la representation spectrale des racines ...
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 ...
Contents
A Settheoretic Preliminaries | 1 |
10 | 30 |
Three Basic Principles of Linear Analysis | 49 |
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A₁ additive set function algebra analytic arbitrary B-space B₁ ba(S Banach Borel sets ca(S Cauchy sequence closed unit sphere compact Hausdorff space compact operator complex numbers conditionally compact contains continuous functions convex set Corollary countably additive DEFINITION denote dense E₁ element equation equivalent exists f₁ finite dimensional function defined function f Hausdorff space Hence Hilbert space homeomorphism implies inequality integral isometric isomorphism K₁ L₁ L₁(S Lebesgue measure Lemma Let f linear map linear operator linear topological space Math measurable functions measure space metric space neighborhood non-negative non-zero normed linear space o-field o-finite open set operator topology positive measure space properties proved real numbers reflexive Riesz S₁ scalar semi-group sequentially compact Show subset subspace Suppose theory TM(S topological space u-integrable u-measurable uniformly valued function weak topology weakly compact weakly sequentially compact X₁ zero ΕΕΣ