Linear Operators: General theory |
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Page 731
... Trans . Amer . Math . Soc . 40 , 421-438 ( 1936 ) . Adams , C. R. , and Clarkson , J. A. 1. On definitions of bounded variation for functions of two variables . Trans . Amer . Math . Soc . 35 , 824-854 ( 1933 ) . 2. Properties of ...
... Trans . Amer . Math . Soc . 40 , 421-438 ( 1936 ) . Adams , C. R. , and Clarkson , J. A. 1. On definitions of bounded variation for functions of two variables . Trans . Amer . Math . Soc . 35 , 824-854 ( 1933 ) . 2. Properties of ...
Page 743
... Trans . Amer . Math . Soc . 45 , 369-442 ( 1939 ) . Two sided ideals and congruences in the ring of bounded ... Trans . Amer . Math . Soc . 75 , 552-575 ( 1953 ) . Cameron , R. H. , and Graves , R. E. 1. Additive functionals on a space ...
... Trans . Amer . Math . Soc . 45 , 369-442 ( 1939 ) . Two sided ideals and congruences in the ring of bounded ... Trans . Amer . Math . Soc . 75 , 552-575 ( 1953 ) . Cameron , R. H. , and Graves , R. E. 1. Additive functionals on a space ...
Page 797
... Trans . Amer . Math . Soc . 44 , 277–304 ( 1938 ) . On continuity and openness of homomorphisms in topological ... Trans . Amer . Math . Soc . 48 , 516-541 ( 1940 ) . 4 . A note on ergodic theory . Proc . Amer . Math . Soc . 2 , 662-669 ...
... Trans . Amer . Math . Soc . 44 , 277–304 ( 1938 ) . On continuity and openness of homomorphisms in topological ... Trans . Amer . Math . Soc . 48 , 516-541 ( 1940 ) . 4 . A note on ergodic theory . Proc . Amer . Math . Soc . 2 , 662-669 ...
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 B₁ ba(S Banach spaces Borel sets Cauchy sequence compact operator complex numbers contains continuous functions continuous linear converges convex set Corollary countably additive DEFINITION denote dense differential equations disjoint Doklady Akad domain E₁ element exists f₁ finite dimensional finite number function defined function f Hausdorff space Hence Hilbert space homeomorphism inequality integral L₁ L₁(S Lebesgue Lemma Let f linear functional linear map linear operator linear topological space measurable function measure space metric space Nauk SSSR N. S. neighborhood non-negative o-field open set operator topology positive measure space Proc PROOF proved real numbers Riesz Russian S₁ scalar semi-group sequentially compact Show spectral strong operator topology subset subspace Suppose T₁ theory topological space u-integrable u-measurable uniformly unit sphere valued function weakly compact zero ΕΕΣ