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 1913
In Chapter XV we try to stress most of the basic elementary properties of spectral
operators that distinguish them from other operators . These properties assume a
variety of forms not immediately apparent from the definition of a spectral ...
In Chapter XV we try to stress most of the basic elementary properties of spectral
operators that distinguish them from other operators . These properties assume a
variety of forms not immediately apparent from the definition of a spectral ...
Page 2134
Statement of the Problem In the preceding chapter we studied the properties of
bounded spectral operators , that is , operators which have a countably additive
resolution of the identity defined on the field of Borel sets . These operators were
...
Statement of the Problem In the preceding chapter we studied the properties of
bounded spectral operators , that is , operators which have a countably additive
resolution of the identity defined on the field of Borel sets . These operators were
...
Page 2588
3 ( 2265 ) properties of , XVII . 3 . 3 ( 2196 ) , XVII. 3 . 4 ( 2197 ) , XVII . 3 . 5 ( 2198
) , XVII . 3 . ... 12 ( 2318 ) 2 - essentially bounded E - measurable functions ,
definition , properties of , XV . 9 ( 1964 ) Eigenvalue , definition of , XV . 8 . 1 (
1955 ) ...
3 ( 2265 ) properties of , XVII . 3 . 3 ( 2196 ) , XVII. 3 . 4 ( 2197 ) , XVII . 3 . 5 ( 2198
) , XVII . 3 . ... 12 ( 2318 ) 2 - essentially bounded E - measurable functions ,
definition , properties of , XV . 9 ( 1964 ) Eigenvalue , definition of , XV . 8 . 1 (
1955 ) ...
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Contents
SPECTRAL OPERATORS XV Spectral Operators | 1924 |
Introduction | 1925 |
Terminology and Preliminary Notions | 1928 |
Copyright | |
32 other sections not shown
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Common terms and phrases
analytic apply arbitrary assumed B-space Banach space Boolean algebra Borel sets boundary conditions bounded bounded Borel bounded operator Chapter clear clearly closure commuting compact complex consider constant contained converges Corollary corresponding countably additive defined Definition denote dense determined differential operator domain elements equation equivalent established example exists extension fact finite follows formal formula given gives Hence Hilbert space hypothesis identity inequality integral invariant inverse Lemma limit linear linear operator manifold Math Moreover multiplicity norm positive preceding present problem projections PROOF properties prove range regular resolution resolvent respectively restriction Russian satisfies scalar type seen sequence shown shows spectral measure spectral operator spectrum statement strongly subset subspace sufficiently Suppose Theorem theory topology unbounded uniformly unique valued vector weakly 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 |