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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4 the spectral operators with non - zero radical parts are the only ones not similar
to normal operators . Thus both of the operators in ( 57 ) are scalar type operators
, and for any a and b in A , they are similar to normal operators . In the case of ...
4 the spectral operators with non - zero radical parts are the only ones not similar
to normal operators . Thus both of the operators in ( 57 ) are scalar type operators
, and for any a and b in A , they are similar to normal operators . In the case of ...
Page 2400
Friedrichs ' Method of Similar Operators In the present section we shall begin our
discussion of an elegant method , due to K . 0 . Friedrichs , which makes it
possible to show , in a variety of cases , that an operator is spectral , and even
much ...
Friedrichs ' Method of Similar Operators In the present section we shall begin our
discussion of an elegant method , due to K . 0 . Friedrichs , which makes it
possible to show , in a variety of cases , that an operator is spectral , and even
much ...
Page 2447
Applying the special case of Theorem 23 , which has already been proved , to the
mapping ( 1 / c ) + - 1GT , we find that ( 1 / c ) - 1G7 is similar to J , so that G is
similar to cJ . Q . E . D . 3 . The Friedrichs ' Method for the Discrete Spectrum XX .
Applying the special case of Theorem 23 , which has already been proved , to the
mapping ( 1 / c ) + - 1GT , we find that ( 1 / c ) - 1G7 is similar to J , so that G is
similar to cJ . Q . E . D . 3 . The Friedrichs ' Method for the Discrete Spectrum XX .
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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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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 function 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 |