Linear Operators, Part 1 |
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Page 462
The case of Theorem 3.9 in which X Y * and I Y , was proved in the separable
case by Banach [ 1 ; p . 131 ) and in full generality by Alaoglu [ 1 ; p . 256 ] .
Michael [ 1 ] gave an extension of Lemma 3.10 to a case where linear operators
are ...
The case of Theorem 3.9 in which X Y * and I Y , was proved in the separable
case by Banach [ 1 ; p . 131 ) and in full generality by Alaoglu [ 1 ; p . 256 ] .
Michael [ 1 ] gave an extension of Lemma 3.10 to a case where linear operators
are ...
Page 804
Perturbations of linear operators in Banach spaces . Arch . Math . 6 , 89–101 (
1955 ) . Rosenthal , A. ( see Hahn , H. , and Hartogs , F. ) Rosser , J. B. 1. Logic
for mathematicians . McGraw - Hill Co. , New York , 1953 . Rota , G. C. 1 .
Extension ...
Perturbations of linear operators in Banach spaces . Arch . Math . 6 , 89–101 (
1955 ) . Rosenthal , A. ( see Hahn , H. , and Hartogs , F. ) Rosser , J. B. 1. Logic
for mathematicians . McGraw - Hill Co. , New York , 1953 . Rota , G. C. 1 .
Extension ...
Page 810
Weak compactness in Banach spaces . Studia Math . 11 , 71-94 ( 1950 ) .
Skorohod , A. ( see Kostyučenko , A. ) Slobodyanskii , M. G. 1. On estimates for
the eigenvalues of a self - adjoint operator . Akad . Nauk SSSR . Prikl . Mat . Meh .
Weak compactness in Banach spaces . Studia Math . 11 , 71-94 ( 1950 ) .
Skorohod , A. ( see Kostyučenko , A. ) Slobodyanskii , M. G. 1. On estimates for
the eigenvalues of a self - adjoint operator . Akad . Nauk SSSR . Prikl . Mat . Meh .
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Contents
Preliminary Concepts | 1 |
The VitaliHahnSaks Theorem and Spaces of Measures | 7 |
B Topological Preliminaries | 10 |
Copyright | |
87 other sections not shown
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Akad algebra Amer analytic applied arbitrary assumed B-space Banach Banach spaces bounded called clear closed complex Consequently contains converges convex Corollary defined DEFINITION denote dense determined differential dimensional disjoint domain element equation equivalent everywhere Exercise exists extension field finite follows function defined function f given Hence Hilbert space identity implies inequality integral interval isomorphism Lebesgue Lemma limit linear functional linear operator linear space Math measure space metric space neighborhood norm open set positive measure problem projection Proof properties proved range reflexive representation respect Russian satisfies scalar seen separable sequence set function Show shown sphere statement subset Suppose Theorem theory topological space topology u-measurable uniform uniformly unique unit valued vector weak weakly compact zero
Bibliographic information
| Title | Linear Operators, Part 1 Linear Operators, Jacob T. Schwartz Volume 7 of Mathematics, Pure, Applied Volume 7 of Pure and applied mathematics, ISSN 0079-8185 Volume 7 of Pure and applied mathematics. A series of texts and monographs |
| Authors | Nelson Dunford, Jacob T. Schwartz |
| Publisher | Interscience Publishers, 1958 |
| Original from | the University of California |
| Digitized | 26 Jun 2018 |
| Length | 2592 pages |
| Export Citation | BiBTeX EndNote RefMan |