Linear Operators: General theory |
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Page 759
... Spectral measure . Doklady Akad . Nauk SSSR ( N. S. ) 81 , 345–348 ( 1951 ) . ( Russian ) Math . Rev. 13 , 470 ( 1952 ) . 6. Operational integral in a Banach space . Doklady Akad . Nauk SSSR ( N.S. ) 71 , 5-8 ( 1950 ) . ( Russian ) Math ...
... Spectral measure . Doklady Akad . Nauk SSSR ( N. S. ) 81 , 345–348 ( 1951 ) . ( Russian ) Math . Rev. 13 , 470 ( 1952 ) . 6. Operational integral in a Banach space . Doklady Akad . Nauk SSSR ( N.S. ) 71 , 5-8 ( 1950 ) . ( Russian ) Math ...
Page 761
... spectral properties of normal operators . Acta Sci . Math . Szeged 12 Pars B , 153–156 ( 1950 ) . Measurable transformations . Bull . Amer . Math . Soc . 55 , 1015–1034 ( 1949 ) . Measure Theory . D. Van Nostrand , New York , 1950 ...
... spectral properties of normal operators . Acta Sci . Math . Szeged 12 Pars B , 153–156 ( 1950 ) . Measurable transformations . Bull . Amer . Math . Soc . 55 , 1015–1034 ( 1949 ) . Measure Theory . D. Van Nostrand , New York , 1950 ...
Page 852
... measure spaces , III.11 ( 235 ) of sets , I.3.11 ( 9 ) of spaces , 1.8 topology , 1.8.1 ( 32 ) Tychonoff theorem , I ... spectral , VII.3.5 ( 567 ) Radon measure , definition , ( 142 ) Radon - 852 SUBJECT INDEX.
... measure spaces , III.11 ( 235 ) of sets , I.3.11 ( 9 ) of spaces , 1.8 topology , 1.8.1 ( 32 ) Tychonoff theorem , I ... spectral , VII.3.5 ( 567 ) Radon measure , definition , ( 142 ) Radon - 852 SUBJECT INDEX.
Contents
Exercises | 9 |
Definitions and Basic Properties | 13 |
Metric Spaces | 19 |
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 closed sets compact Hausdorff space compact operator complex numbers contains continuous functions continuous linear converges convex set Corollary countably additive DEFINITION denote dense disjoint Doklady Akad E₁ elements ergodic exists f₁ finite number follows function defined function f Hausdorff space Hence Hilbert space homomorphism 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 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 Theorem theory topological space u-integrable u-measurable u-null uniformly unit sphere vector space weakly compact zero ΕΕΣ