Linear Operators: General theory |
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Page 732
... ibid . 11 , 200-236 ( 1950 ) . III . ibid . 12 , 84-92 ( 1951 ) . IV . ibid . 12 , 93-101 ( 1951 ) . 2. Linear operations among bounded measurable functions , I , II . 3 . I. Ann . Soc . Polon . Math . 19 , 140-161 ( 1946 ) . II . ibid ...
... ibid . 11 , 200-236 ( 1950 ) . III . ibid . 12 , 84-92 ( 1951 ) . IV . ibid . 12 , 93-101 ( 1951 ) . 2. Linear operations among bounded measurable functions , I , II . 3 . I. Ann . Soc . Polon . Math . 19 , 140-161 ( 1946 ) . II . ibid ...
Page 789
... ibid . 1056-1062 ( 1946 ) . III . ibid . 1134-1141 ( 1946 ) . IV . ibid . 1142-1152 ( 1946 ) . V. ibid . 51 , 197-210 ( 1948 ) . VI . ibid . 52 , 151-160 ( 1949 ) . 8. Espaces linéaires à une infinité dénombrable de coordonnée . Nederl ...
... ibid . 1056-1062 ( 1946 ) . III . ibid . 1134-1141 ( 1946 ) . IV . ibid . 1142-1152 ( 1946 ) . V. ibid . 51 , 197-210 ( 1948 ) . VI . ibid . 52 , 151-160 ( 1949 ) . 8. Espaces linéaires à une infinité dénombrable de coordonnée . Nederl ...
Page 796
... ibid . 1 , 241-255 ( 1929 ) . III . Bull . Int . Acad . Polon . Sci . Sér . A. 8-9 , 229-238 ( 1932 ) . IV . Studia Math . 5 , 1-14 ( 1934 ) . V. ibid . 6 , 20-38 ( 1936 ) . VI . ibid . 8 , 141-147 ( 1939 ) . Orlov , S. A. 1 . On the ...
... ibid . 1 , 241-255 ( 1929 ) . III . Bull . Int . Acad . Polon . Sci . Sér . A. 8-9 , 229-238 ( 1932 ) . IV . Studia Math . 5 , 1-14 ( 1934 ) . V. ibid . 6 , 20-38 ( 1936 ) . VI . ibid . 8 , 141-147 ( 1939 ) . Orlov , S. A. 1 . On the ...
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