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Page 741
... Proc . Nat . Acad . Sci . U.S.A. 38 , 230–235 ( 1952 ) . 2. 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 ) . 2. 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 821
... Proc . XII Scand . Math . Congress , Lund ( 1953 ) . 3. Commuting spectral measures on Hilbert space . Pacific J. Math . 4 , 355-361 ( 1954 ) . 4 . 5 . 6 . 7 . On invariant subspaces of normal operators . Proc . Amer . Math . Soc . 3 ...
... Proc . XII Scand . Math . Congress , Lund ( 1953 ) . 3. Commuting spectral measures on Hilbert space . Pacific J. Math . 4 , 355-361 ( 1954 ) . 4 . 5 . 6 . 7 . On invariant subspaces of normal operators . Proc . Amer . Math . Soc . 3 ...
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