Linear Operators: General theory |
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Page 195
Indeed , according to Tonelli ' s theorem , both these integrals are equal to the
integral off with respect to the product measure ( and we have already remarked
that the product of measures is commutative . ) Generalizing this statement , and
...
Indeed , according to Tonelli ' s theorem , both these integrals are equal to the
integral off with respect to the product measure ( and we have already remarked
that the product of measures is commutative . ) Generalizing this statement , and
...
Page 227
Let f be analytic in V - A . Then the second form of Cauchy ' s integral theorem
states : If we agree to orient the Jordan ... and is independent of any particular
choice of the neighborhood U of A . In other words , the integrals SB and SB , are
...
Let f be analytic in V - A . Then the second form of Cauchy ' s integral theorem
states : If we agree to orient the Jordan ... and is independent of any particular
choice of the neighborhood U of A . In other words , the integrals SB and SB , are
...
Page 743
On the existence of certain singular integrals . ... A “ Simpson ' s Rule ” for the
numerical evaluation of Wiener ' s integrals in function space . Duke Math . J . 18 ,
111 - 130 ( 1951 ) . The first variation of an indefinite Wiener integral . Proc .
On the existence of certain singular integrals . ... A “ Simpson ' s Rule ” for the
numerical evaluation of Wiener ' s integrals in function space . Duke Math . J . 18 ,
111 - 130 ( 1951 ) . The first variation of an indefinite Wiener integral . Proc .
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Contents
Preliminary Concepts | 1 |
B Topological Preliminaries | 10 |
Algebraic Preliminaries | 34 |
Copyright | |
21 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 Amer analytic applied arbitrary assumed B-space Banach Banach spaces bounded called clear closed compact complex Consequently constant contains converges convex Corollary defined DEFINITION denote dense determined differential disjoint domain element equation equivalent everywhere Exercise exists extension field finite follows formula function defined function f given Hence Hilbert space identity implies inequality integral interval Lebesgue Lemma limit linear functional linear operator linear space Math mean measure space metric neighborhood norm positive measure problem Proc projection PROOF properties proved respect Russian satisfies scalar seen semi-group separable sequence set function Show shown sphere statement strongly subset sufficient Suppose Theorem theory topological space topology transformations u-measurable uniform uniformly unique unit 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 |
| Length | 2592 pages |
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