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Page 743
... 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 . 3 . 4 ...
... 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 . 3 . 4 ...
Page 761
... transformations . Bull . Amer . Math . Soc . 55 , 1015–1034 ( 1949 ) . Measure Theory . D. Van Nostrand , New York , 1950 . Introduction to Hilbert space and the theory of spectral multiplicity . Chelsea , New York , 1951 . 7. Finite ...
... transformations . Bull . Amer . Math . Soc . 55 , 1015–1034 ( 1949 ) . Measure Theory . D. Van Nostrand , New York , 1950 . Introduction to Hilbert space and the theory of spectral multiplicity . Chelsea , New York , 1951 . 7. Finite ...
Page 783
... transformations in certain vector spaces . Bull . Amer . Math . Soc . 45 , 564-569 ( 1939 ) . On a calculus of ... transformations in reflexive vector spaces . Trans . Amer . Math . Soc . 49 , 18-40 ( 1941 ) . Means of iterated ...
... transformations in certain vector spaces . Bull . Amer . Math . Soc . 45 , 564-569 ( 1939 ) . On a calculus of ... transformations in reflexive vector spaces . Trans . Amer . Math . Soc . 49 , 18-40 ( 1941 ) . Means of iterated ...
Contents
B Topological Preliminaries | 10 |
Metric Spaces | 23 |
Product Spaces | 31 |
Copyright | |
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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 Doklady Akad Duke Math E₁ elements ergodic exists extension f₁ function defined function f Hausdorff space Hence Hilbert space homomorphism inequality integral L₁ L₁(S Lebesgue Lemma Let f linear functional linear map linear operator linear topological space measurable functions measure space metric space Nauk SSSR N. S. neighborhood non-negative normed linear space o-field open set operator topology positive measure space Proc PROOF properties proved real numbers reflexive Riesz Russian S₁ scalar semi-group sequentially compact Show subset subspace Suppose theory topological space u-integrable u-measurable u-null uniformly unit sphere valued function vector space weakly compact zero ΕΕΣ