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 66
Page 2150
Since the spectrum is totally disconnected , every spectral point is contained in a spectral set of arbitrarily small diameter and thus in an S ( T ) set of arbitrarily small diameter . Since it is clear that every subset of the ...
Since the spectrum is totally disconnected , every spectral point is contained in a spectral set of arbitrarily small diameter and thus in an S ( T ) set of arbitrarily small diameter . Since it is clear that every subset of the ...
Page 2234
The first statement follows from Definition 8 and the three paragraphs of explanation which precede it , and from Lemma 6 . Statement ( i ) follows from Corollary 7. If e is a bounded Borel set with closure contained in U , it may be ...
The first statement follows from Definition 8 and the three paragraphs of explanation which precede it , and from Lemma 6 . Statement ( i ) follows from Corollary 7. If e is a bounded Borel set with closure contained in U , it may be ...
Page 2256
Since ( T ) is totally disconnected , each point in o ( T ) is contained in an arbitrarily small compact subset o of o ( T ) which is open in the relative topology of o ( T ) . It follows that the set t ( o ) = { 212-1 € 0 } is a ...
Since ( T ) is totally disconnected , each point in o ( T ) is contained in an arbitrarily small compact subset o of o ( T ) which is open in the relative topology of o ( T ) . It follows that the set t ( o ) = { 212-1 € 0 } is a ...
What people are saying - Write a review
We haven't found any reviews in the usual places.
Contents
SPECTRAL OPERATORS | 1924 |
Introduction | 1927 |
Terminology and Preliminary Notions | 1929 |
Copyright | |
31 other sections not shown
Other editions - View all
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 contained continuous converges Corollary corresponding defined Definition denote dense determined differential operator domain elements equation equivalent established exists extension finite follows formal formula function given Hence Hilbert space hypothesis identity inequality integral invariant inverse Lemma limit linear 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 |