Linear Operators: General theory |
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Page 755
J . Math . 63 , 87 - 100 ( 1941 ) . Frobenius , G . 1 . Über lineare Substitutionen
und bilineare Formen . J . Reine Angew . ... Math . Soc . 1 , 440 - 442 ( 1950 ) . 2 .
Linear operators with range in a space of differentiable functions . Duke Math .
J . Math . 63 , 87 - 100 ( 1941 ) . Frobenius , G . 1 . Über lineare Substitutionen
und bilineare Formen . J . Reine Angew . ... Math . Soc . 1 , 440 - 442 ( 1950 ) . 2 .
Linear operators with range in a space of differentiable functions . Duke Math .
Page 773
2 . Banach spaces with the extension property . Trans . Amer . Math . Soc . 72 ,
323 – 326 ( 1952 ) . The Tychonoff product theorem implies the axiom of choice .
Fund . Math . 37 , 75 - 76 ( 1950 ) . 4 . Convergence in topology . Duke Math .
2 . Banach spaces with the extension property . Trans . Amer . Math . Soc . 72 ,
323 – 326 ( 1952 ) . The Tychonoff product theorem implies the axiom of choice .
Fund . Math . 37 , 75 - 76 ( 1950 ) . 4 . Convergence in topology . Duke Math .
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Pacific J . Math . 2 , 413 – 418 ( 1952 ) . 2 . Error estimation in the Weinstein
method for eigenvalues . Proc . Amer . Math . Soc . 3 , 643 – 646 ( 1952 ) . 3 . An
extension of the classical Sturm - Liouville theory . Duke Math . J . 22 , 1 - 14 (
1955 ) .
Pacific J . Math . 2 , 413 – 418 ( 1952 ) . 2 . Error estimation in the Weinstein
method for eigenvalues . Proc . Amer . Math . Soc . 3 , 643 – 646 ( 1952 ) . 3 . An
extension of the classical Sturm - Liouville theory . Duke Math . J . 22 , 1 - 14 (
1955 ) .
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Contents
Preliminary Concepts A Settheoretic Preliminaries 1 Notation and Elementary Notions | 1 |
Partially Ordered Systems | 7 |
Exercises | 9 |
Copyright | |
35 other sections not shown
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Linear Operators, Part 1 Nelson Dunford,Jacob T. Schwartz,William G. Bade,Robert G. Bartle Snippet view - 1958 |
Common terms and phrases
algebra analytic applied arbitrary assumed B-space ba(S Borel bounded called Chapter clear closed compact complex condition Consequently constant contains continuous functions converges Corollary countably additive defined DEFINITION denote dense determined differential dimensional disjoint element equation equivalent everywhere Exercise exists extension field finite follows formula function defined function f given Hausdorff Hence Hilbert space identity implies inequality integral interval isometric isomorphism Lebesgue Lemma limit linear functional linear space mapping Math means measure space neighborhood norm obtained operator positive measure preceding projection PROOF properties proved range reflexive regular respect satisfies scalar seen separable sequence sequentially set function Show shown statement subset subspace sufficient Suppose Theorem theory tion topology u-measurable uniform uniformly unique unit sphere valued vector weak weakly compact zero
Bibliographic information
| Title | Linear Operators: General theory Part 1 of Linear Operators, Jacob T. Schwartz Volume 1; Volume 7 of Pure and applied mathematics : a series of texts and monographs Volume 7 of Pure and applied mathematics Interscience Press Pure and applied mathematics, ISSN 0079-8185 |
| Authors | Nelson Dunford, Jacob T. Schwartz |
| Publisher | Interscience Publishers, 1958 |
| Original from | the University of Michigan |
| Digitized | 20 Nov 2007 |
| Length | 2592 pages |
| Export Citation | BiBTeX EndNote RefMan |