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Page 743
Symmetric transformations in Hilbert space . Duke J. Math . 7 , 504-508 ( 1940 ) . Cameron , R. H. 1. A “ Simpson's Rule ” for the numerical evaluation of Wiener's integrals in function space . Duke Math . J. 18 , 111-130 ( 1951 ) . 2.
Symmetric transformations in Hilbert space . Duke J. Math . 7 , 504-508 ( 1940 ) . Cameron , R. H. 1. A “ Simpson's Rule ” for the numerical evaluation of Wiener's integrals in function space . Duke Math . J. 18 , 111-130 ( 1951 ) . 2.
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Measurable transformations . Bull . Amer . Math . Soc . 55 , 1013–1034 ( 1949 ) . 5. Measure Theory . D. Van Nostrand , New York , 1950 . 6. Introduction to Hilbert space and the theory of spectral multiplicity .
Measurable transformations . Bull . Amer . Math . Soc . 55 , 1013–1034 ( 1949 ) . 5. Measure Theory . D. Van Nostrand , New York , 1950 . 6. Introduction to Hilbert space and the theory of spectral multiplicity .
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Bicontinuous linear transformations in certain vector spaces . Bull . Amer . Math . Soc . 45 , 564-569 ( 1939 ) . 2. On a calculus of operators in reflexive vector spaces . Trans . Amer . Math . Soc . 45 , 217–234 ( 1939 ) . 3 .
Bicontinuous linear transformations in certain vector spaces . Bull . Amer . Math . Soc . 45 , 564-569 ( 1939 ) . 2. On a calculus of operators in reflexive vector spaces . Trans . Amer . Math . Soc . 45 , 217–234 ( 1939 ) . 3 .
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Contents
B Topological Preliminaries | 10 |
quences | 26 |
Algebraic Preliminaries | 34 |
Copyright | |
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Acad algebra Amer analytic applied arbitrary assumed B-space Banach Banach spaces bounded called clear closed compact complex condition contains continuous functions converges convex Corollary countably additive defined DEFINITION denote dense determined differential disjoint Doklady Akad element equation equivalent everywhere Exercise exists extension field finite follows function defined function f given Hence Hilbert space implies inequality integral interval isomorphism Lebesgue Lemma limit linear functional linear operator linear space mapping Math meaning measure space metric neighborhood norm operator positive measure problem Proc Proof properties proved respect Russian satisfies scalar seen semi-group separable sequence set function Show shown sphere statement subset sufficient Suppose Theorem theory topological space topology transformations u-measurable uniform uniformly unique unit valued vector weak weakly compact zero