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 2010
To prove ( 76 ) it is seen from Theorem 9.3 and equation ( 67 ) that 19 ( A ) = = ess sup | p ( Â ( s ) ) SEDO SES 52104 | A | +100 SKøl , where K is the larger of 2 A and 1 . Q.E.D. 12. Some Examples of Unbounded Spectral Operators ...
To prove ( 76 ) it is seen from Theorem 9.3 and equation ( 67 ) that 19 ( A ) = = ess sup | p ( Â ( s ) ) SEDO SES 52104 | A | +100 SKøl , where K is the larger of 2 A and 1 . Q.E.D. 12. Some Examples of Unbounded Spectral Operators ...
Page 2013
... m om by Lemma 1 , and so the operator A is a type of unbounded convolution . The preceding discussion may be summarized as follows . 2 THEOREM . For each measurable p xp matrix  ( s ) of complex functions defined almost everywhere ...
... m om by Lemma 1 , and so the operator A is a type of unbounded convolution . The preceding discussion may be summarized as follows . 2 THEOREM . For each measurable p xp matrix  ( s ) of complex functions defined almost everywhere ...
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CHAPTER XVIII Unbounded Spectral Operators 1. Introduction It was own in the course of Chapters XII , XIII , and XIV that in order to apply the spectral theory of Hermitian operators to ordinary and partial differential operators it is ...
CHAPTER XVIII Unbounded Spectral Operators 1. Introduction It was own in the course of Chapters XII , XIII , and XIV that in order to apply the spectral theory of Hermitian operators to ordinary and partial differential operators it is ...
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Contents
SPECTRAL OPERATORS | 1924 |
Introduction | 1927 |
Terminology and Preliminary Notions | 1929 |
Copyright | |
47 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 defined Definition denote dense determined differential operator domain elements equation equivalent established exists extension 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 |