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 1909
Preface As stated in the Preface to Part I of this treatise , our original intention
was to include the theory of spectral operators in Part II . We thought ( and still
think ) that this theory forms an excellent introduction to the detailed study of the
much ...
Preface As stated in the Preface to Part I of this treatise , our original intention
was to include the theory of spectral operators in Part II . We thought ( and still
think ) that this theory forms an excellent introduction to the detailed study of the
much ...
Page 2510
theory of spectral operators . These matters are systematically discussed in the
monograph by Colojoară and Foiaş [ 4 ] . A variety of more or less related results
on the existence of invariant subspaces for an operator T are given by Wermer [ 1
...
theory of spectral operators . These matters are systematically discussed in the
monograph by Colojoară and Foiaş [ 4 ] . A variety of more or less related results
on the existence of invariant subspaces for an operator T are given by Wermer [ 1
...
Page 2525
On the theory of a class of non - self - adjoint operators and its applications to
quantum scattering theory . Ann . Acad . Sci . Fenn . Ser . A . I . no . 263 ( 1959 ) ,
36 pp . Domar , Y . 1 . Harmonic analysis based on certain commutative Banach ...
On the theory of a class of non - self - adjoint operators and its applications to
quantum scattering theory . Ann . Acad . Sci . Fenn . Ser . A . I . no . 263 ( 1959 ) ,
36 pp . Domar , Y . 1 . Harmonic analysis based on certain commutative Banach ...
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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 |