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 89
Page 2144
It clearly preserves finite disjoint unions , takes complements into complements , is countably additive in the X topology of X * , and is bounded . It remains only to show that A ( 0 ) A ( S ) = A ( od ) .
It clearly preserves finite disjoint unions , takes complements into complements , is countably additive in the X topology of X * , and is bounded . It remains only to show that A ( 0 ) A ( S ) = A ( od ) .
Page 2203
To see this , note that sets of the form { a || ( T - 1A ) ( a ) ) < x } , with A in A ( B ) form , by definition , a subbasis for the topology of 4 , and since B generates A ( B ) , the sets o ( E ) form a subbasis for the topology of ...
To see this , note that sets of the form { a || ( T - 1A ) ( a ) ) < x } , with A in A ( B ) form , by definition , a subbasis for the topology of 4 , and since B generates A ( B ) , the sets o ( E ) form a subbasis for the topology of ...
Page 2278
If E * € 6 * we define m ( E * ) , the multiplicity of E * , to be the smallest cardinal power of a set A of vectors such that E * X * is spanned in the X - topology by the manifolds { N ( x * ) | ** E A } . The next lemma establishes ...
If E * € 6 * we define m ( E * ) , the multiplicity of E * , to be the smallest cardinal power of a set A of vectors such that E * X * is spanned in the X - topology by the manifolds { N ( x * ) | ** E A } . The next lemma establishes ...
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 | |
47 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 contains continuous converges Corollary corresponding defined Definition denote dense determined differential operator domain elements equation equivalent established exists extension finite follows formal formula 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 |