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Page 747
... Math . Soc . 69 , 276-291 ( 1950 ) . 9. Operations in Banach spaces . Trans . Amer . Math . Soc . 51 , 583–608 ( 1942 ) . 10. Ergodic theorems for abelian semi - groups . Trans . Amer . Math . Soc . 51 , 399-412 ( 1942 ) . 11. Strict ...
... Math . Soc . 69 , 276-291 ( 1950 ) . 9. Operations in Banach spaces . Trans . Amer . Math . Soc . 51 , 583–608 ( 1942 ) . 10. Ergodic theorems for abelian semi - groups . Trans . Amer . Math . Soc . 51 , 399-412 ( 1942 ) . 11. Strict ...
Page 790
... Math . J. 5 , 520–534 ( 1939 ) . 2. On the supporting - plane property of a convex body . Bull . Amer . Math . Soc . 46 , 482-489 ( 1940 ) . Munroe , M. E. 1. Absolute and unconditional convergence in Banach spaces . Duke Math . J. 13 ...
... Math . J. 5 , 520–534 ( 1939 ) . 2. On the supporting - plane property of a convex body . Bull . Amer . Math . Soc . 46 , 482-489 ( 1940 ) . Munroe , M. E. 1. Absolute and unconditional convergence in Banach spaces . Duke Math . J. 13 ...
Page 800
... Math . 73 , 357-362 ( 1951 ) . On commutators of bounded matrices . Amer . J. Math . 73 , 127-131 ( 1951 ) . 3. On the spectra of commutators . Proc . Amer . Math . Soc . 5 , 929-931 ( 1954 ) . An application of spectral theory to a ...
... Math . 73 , 357-362 ( 1951 ) . On commutators of bounded matrices . Amer . J. Math . 73 , 127-131 ( 1951 ) . 3. On the spectra of commutators . Proc . Amer . Math . Soc . 5 , 929-931 ( 1954 ) . An application of spectral theory to a ...
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