Linear Operators, Part 1 |
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Page 228
... in U , and the partial derivatives of In of arbitrarily large order converge to the
corresponding partial derivatives off uniformly in V. From this theorem , we can
easily derive the useful fact that if s is analytic in the Cartesian product U , X ..
... in U , and the partial derivatives of In of arbitrarily large order converge to the
corresponding partial derivatives off uniformly in V. From this theorem , we can
easily derive the useful fact that if s is analytic in the Cartesian product U , X ..
Page 401
This B - space of functions plays an important role in connection with the study of
certain singular integral operators , particularly those which arise in the theory of
partial differential operators . More detailed indications on this score are given in
...
This B - space of functions plays an important role in connection with the study of
certain singular integral operators , particularly those which arise in the theory of
partial differential operators . More detailed indications on this score are given in
...
Page 756
Garabedian , P. R. , and Shiffman , M. 1. On solution of partial differential
equations by the Hahn - Banach Theorem . Trans . Amer . Math . Soc . 76 , 288–
299 ( 1954 ) . Gårding , L. 1 . Linear hyperbolic partial differential equations with
constant ...
Garabedian , P. R. , and Shiffman , M. 1. On solution of partial differential
equations by the Hahn - Banach Theorem . Trans . Amer . Math . Soc . 76 , 288–
299 ( 1954 ) . Gårding , L. 1 . Linear hyperbolic partial differential equations with
constant ...
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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
Common terms and phrases
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 |