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Page 741
... Proc . Nat . Acad . Sci . U.S.A. 38 , 230–235 ( 1952 ) . The Dirichlet and vibration problems for linear elliptic differential equations of arbitrary order . Proc . Nat . Acad . Sci . U.S.A. 38 , 741-747 ( 1952 ) . 3. Assumption of ...
... Proc . Nat . Acad . Sci . U.S.A. 38 , 230–235 ( 1952 ) . The Dirichlet and vibration problems for linear elliptic differential equations of arbitrary order . Proc . Nat . Acad . Sci . U.S.A. 38 , 741-747 ( 1952 ) . 3. Assumption of ...
Page 770
... Proc . Second Berkeley Symposium Math . Statistics and Prob . , 189-215 ( 1951 ) . Kaczmarz , S. , and Steinhaus , H ... Proc . Imp . Acad . Tokyo 13 , 93-94 ( 1937 ) . 2 . 3 . 4 . Weak topology and regularity of Banach spaces . Proc ...
... Proc . Second Berkeley Symposium Math . Statistics and Prob . , 189-215 ( 1951 ) . Kaczmarz , S. , and Steinhaus , H ... Proc . Imp . Acad . Tokyo 13 , 93-94 ( 1937 ) . 2 . 3 . 4 . Weak topology and regularity of Banach spaces . Proc ...
Page 825
... Proc . Imp . Acad . Tokyo 17 , 121–124 ( 1941 ) . Vector lattices and additive set functions . Proc . Imp . Acad . Tokyo 17 , 228-232 ( 1941 ) . 3 . 4 . On the unitary equivalence in general Euclidean space . Proc . Japan Acad . 22 ...
... Proc . Imp . Acad . Tokyo 17 , 121–124 ( 1941 ) . Vector lattices and additive set functions . Proc . Imp . Acad . Tokyo 17 , 228-232 ( 1941 ) . 3 . 4 . On the unitary equivalence in general Euclidean space . Proc . Japan Acad . 22 ...
Contents
8 | 28 |
Algebraic Preliminaries | 34 |
Three Basic Principles of Linear Analysis | 49 |
Copyright | |
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A₁ additive set function algebra Amer analytic arbitrary B-space ba(S Banach Borel sets ca(S Cauchy sequence compact Hausdorff space compact operator complex numbers contains continuous functions converges convex set Corollary countably additive DEFINITION dense differential disjoint Doklady Akad E₁ element equation exists f₁ finite dimensional function defined function f Hausdorff space Hence Hilbert space homeomorphism implies inequality integral isometric isomorphism L₁ L₁(S Lebesgue Lemma Let f linear map linear operator linear topological space Math measurable functions measure space metric space Nauk SSSR N. S. neighborhood non-negative normed linear space o-field o-finite open set operator topology positive measure space Proc PROOF properties proved real numbers Riesz S₁ scalar semi-group sequentially compact Show subset subspace Suppose theory TM(S topological space u-integrable u-measurable uniformly weak topology weakly compact weakly sequentially compact zero ΕΕΣ