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 1955
We shall be concerned with the fine structure of the spectrum , and the spectral points of an operator in X will be classified , as they were in Hilbert space , according to the following definition . + 1 DEFINITION .
We shall be concerned with the fine structure of the spectrum , and the spectral points of an operator in X will be classified , as they were in Hilbert space , according to the following definition . + 1 DEFINITION .
Page 2507
uniformly bounded by a constant K in the neighborhood of the spectrum of H , while the integrals S14 ( ( A + ie ) 1 – H , ) – | 2 dx and S | B * ( ( 1 + ie ) I – H , ) - 4012 da are bounded as a → 0 . In this case , and under the ...
uniformly bounded by a constant K in the neighborhood of the spectrum of H , while the integrals S14 ( ( A + ie ) 1 – H , ) – | 2 dx and S | B * ( ( 1 + ie ) I – H , ) - 4012 da are bounded as a → 0 . In this case , and under the ...
Page 2591
residual spectrum of , XV.8.3 ( 1956 ) .2.19-20 (. XV.11.19 , XV.11.20 ( 2003 ) examples , XV.11.21 ( 2004 ) , ( equations ( 57 ) , ( 58 ) ) ( 2005 ) nilpotent part of , XV.11 ( 2005 ) of class ( C ) , definition and examples of , ...
residual spectrum of , XV.8.3 ( 1956 ) .2.19-20 (. XV.11.19 , XV.11.20 ( 2003 ) examples , XV.11.21 ( 2004 ) , ( equations ( 57 ) , ( 58 ) ) ( 2005 ) nilpotent part of , XV.11 ( 2005 ) of class ( C ) , definition and examples of , ...
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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 |