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 84
Page 2066
Thus c is a continuous homomorphism of the additive group RN onto the
multiplicative group of the unit circle in the complex plane . A well known
elementary result then gives the existence of a uniquely determined point s = s (
h ) in RN with ...
Thus c is a continuous homomorphism of the additive group RN onto the
multiplicative group of the unit circle in the complex plane . A well known
elementary result then gives the existence of a uniquely determined point s = s (
h ) in RN with ...
Page 2443
1 p 24 THEOREM . Let 1 sp < , and let Lp [ 0 , 1 ] be the space of all complex
valued , Borel - Lebesgue measurable functions defined in [ 0 , 1 ] and satisfying {
$ 15 ( 2 ) | P dx } " * = \ s \ < . Let g ( x , y ) be defined and continuous on the
triangle ...
1 p 24 THEOREM . Let 1 sp < , and let Lp [ 0 , 1 ] be the space of all complex
valued , Borel - Lebesgue measurable functions defined in [ 0 , 1 ] and satisfying {
$ 15 ( 2 ) | P dx } " * = \ s \ < . Let g ( x , y ) be defined and continuous on the
triangle ...
Page 2448
1 . + 1 THEOREM . Let X be a B - space , and let Te B ( X ) . Let A be an “ auxiliary
” B - space , with the norm | | | A | | | , A € A . Let M , and M , be real numbers
greater than zero . Suppose that : ( a ) a continuous linear mapping q : A → B ( x )
, of ...
1 . + 1 THEOREM . Let X be a B - space , and let Te B ( X ) . Let A be an “ auxiliary
” B - space , with the norm | | | A | | | , A € A . Let M , and M , be real numbers
greater than zero . Suppose that : ( a ) a continuous linear mapping q : A → B ( x )
, of ...
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 |