Linear Operators: Part III: Spectral Operators [by] Nelson Dunford and Jacob T. Schwartz, with the Assistance of William G. Bade and Robert G. Bartle, Volume 1 |
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Page 1912
exception , used from Chapter XIV are elementary self - contained lemmas
concerning approximation of integrable functions by smooth functions . The
exception is Sobolev ' s theorem , which is used only in the proof of a corollary
unessential ...
exception , used from Chapter XIV are elementary self - contained lemmas
concerning approximation of integrable functions by smooth functions . The
exception is Sobolev ' s theorem , which is used only in the proof of a corollary
unessential ...
Page 1915
34 , and then directly to Chapter XX , thereby eliminating the involved analysis
needed for most of Chapter XVI and all of the material in Chapters ... the reader
again that the principal results of Chapter XIII are frequently used in Chapter XX .
34 , and then directly to Chapter XX , thereby eliminating the involved analysis
needed for most of Chapter XVI and all of the material in Chapters ... the reader
again that the principal results of Chapter XIII are frequently used in Chapter XX .
Page 1916
Chapter XIX ends with a section which gives results concerning completeness
properties of the set of eigenvectors of a perturbed operator . These theorems
make assertions less specific than those obtained in the first sections of Chapter
XIX ...
Chapter XIX ends with a section which gives results concerning completeness
properties of the set of eigenvectors of a perturbed operator . These theorems
make assertions less specific than those obtained in the first sections of Chapter
XIX ...
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Contents
SPECTRAL OPERATORS | 1924 |
Introduction | 1927 |
Terminology and Preliminary Notions | 1929 |
Copyright | |
28 other sections not shown
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Common terms and phrases
adjoint operator Amer analytic apply arbitrary assumed B-space Banach space belongs Boolean algebra Borel set boundary conditions bounded bounded operator Chapter clear closed commuting compact complex constant contains continuous converges Corollary corresponding countably additive defined Definition denote dense determined differential operator domain elements equation equivalent established exists extension fact finite follows formal formula given gives Hence Hilbert space hypothesis identity inequality integral invariant inverse Lemma limit linear operator Math Moreover multiplicity norm perturbation plane positive preceding present problem projections PROOF properties prove range resolution resolvent restriction Russian satisfies scalar type seen sequence shown shows similar solution spectral measure spectral operator spectrum subset sufficiently Suppose Theorem theory topology unbounded uniformly unique valued vector zero
Bibliographic information
| Title | Linear Operators: Part III: Spectral Operators [by] Nelson Dunford and Jacob T. Schwartz, with the Assistance of William G. Bade and Robert G. Bartle, Volume 1 Pure and applied mathematics, v. 7 |
| Authors | Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle |
| Editors | L. Bers, J. J. Stoker |
| Publisher | Wiley-Interscience, 1957 |
| Original from | the University of Michigan |
| Digitized | 2 Feb 2010 |
| ISBN | 0471226394, 9780471226390 |
| Length | 667 pages |
| Export Citation | BiBTeX EndNote RefMan |