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 ) . 3 . 4 . 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 ) . 3 . 4 . Théorèmes d'approximation et problèmes des moments . C. R. Acad . Sci . Paris 232 , 1054-1056 ( 1951 ) ...
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