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 |
From inside the book
Results 1-3 of 80
Page 2013
For a sequence { om } satisfying ( 3 ) , A is given by ( 9 ) and the domain of A
consists precisely of those o for which the limit in ( 9 ) exists . Our next concern
will be with the question of the existence of a resolution of the identity for A . This
leads ...
For a sequence { om } satisfying ( 3 ) , A is given by ( 9 ) and the domain of A
consists precisely of those o for which the limit in ( 9 ) exists . Our next concern
will be with the question of the existence of a resolution of the identity for A . This
leads ...
Page 2088
... complex measurable functions on RN and let As be the densely defined closed
operator given by equations 12 . 4 . Show that if As is a scalar type spectral
operator whose spectrum lies in a left half plane then it is the infinitesimal
generator ...
... complex measurable functions on RN and let As be the densely defined closed
operator given by equations 12 . 4 . Show that if As is a scalar type spectral
operator whose spectrum lies in a left half plane then it is the infinitesimal
generator ...
Page 2096
Another characterization of subscalar operators is given , based on a theorem
which asserts that , under certain hypotheses , a continuous linear mapping U of
a Banach algebra A with unit e into B ( X ) is the projection of a continuous ...
Another characterization of subscalar operators is given , based on a theorem
which asserts that , under certain hypotheses , a continuous linear mapping U of
a Banach algebra A with unit e into B ( X ) is the projection of a continuous ...
What people are saying - Write a review
We haven't found any reviews in the usual places.
Contents
SPECTRAL OPERATORS XV Spectral Operators | 1924 |
Introduction | 1925 |
Terminology and Preliminary Notions | 1928 |
Copyright | |
32 other sections not shown
Other editions - View all
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 |