Linear Operators: General theory |
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Page 752
... Acad . Sci . U.S.A. 37 , 760-766 ( 1951 ) . Les fonctions définies - positives et les fonctions complètement monotones . Gauthier - Villars , Paris , 1950 . On a theorem of Weyl concerning eigenvalues of linear transformations I. Proc ...
... Acad . Sci . U.S.A. 37 , 760-766 ( 1951 ) . Les fonctions définies - positives et les fonctions complètement monotones . Gauthier - Villars , Paris , 1950 . On a theorem of Weyl concerning eigenvalues of linear transformations I. Proc ...
Page 769
... Acad . Sci . Paris 222 , 707-709 ( 1946 ) . 2 . 3 . 4 . 5 . 6 . Remarques sur les racines carrées hermitiennes d'un opérateur hermitien positif borné . C. R. Acad . Sci . Paris 222 , 829–832 ( 1946 ) . Sur la representation spectrale ...
... Acad . Sci . Paris 222 , 707-709 ( 1946 ) . 2 . 3 . 4 . 5 . 6 . Remarques sur les racines carrées hermitiennes d'un opérateur hermitien positif borné . C. R. Acad . Sci . Paris 222 , 829–832 ( 1946 ) . Sur la representation spectrale ...
Page 785
... Acad . Sci . Paris 231 , 16-18 ( 1950 ) . Théorèmes généraux de fermeture . C. R. Acad . Sci . Paris 232 , 284-286 ( 1951 ) . Théorèmes d'approximation et problèmes des moments . C. R. Acad . Sci . Paris 232 , 1054-1056 ( 1951 ) ...
... Acad . Sci . Paris 231 , 16-18 ( 1950 ) . Théorèmes généraux de fermeture . C. R. Acad . Sci . Paris 232 , 284-286 ( 1951 ) . Théorèmes d'approximation et problèmes des moments . C. R. Acad . Sci . Paris 232 , 1054-1056 ( 1951 ) ...
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