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 82
Page 1930
If Eis a Boolean algebra of subsets of the complex plane which contains the void
set and the whole plane , in short , if & is a field of sets in the complex plane , then
a spectral measure E on & is called a resolution of the identity ( or a spectral ...
If Eis a Boolean algebra of subsets of the complex plane which contains the void
set and the whole plane , in short , if & is a field of sets in the complex plane , then
a spectral measure E on & is called a resolution of the identity ( or a spectral ...
Page 2043
The semi - group S ( t ) has a strongly analytic extension to a semi - group S ( 5 )
defined for % in the half plane R ( S ) > 0 . The unique solution to the Cauchy
problem presented by the equations ( ii ) , ( iii ) , ( iv ) is analytic in t and has an ...
The semi - group S ( t ) has a strongly analytic extension to a semi - group S ( 5 )
defined for % in the half plane R ( S ) > 0 . The unique solution to the Cauchy
problem presented by the equations ( ii ) , ( iii ) , ( iv ) is analytic in t and has an ...
Page 2087
... ( p ) T ( 29 ) ( RN ) is the infinitesimal generator of a strongly continuous semi -
group s ( t ) , t 20 , of bounded linear operators in HP and S ( t ) has a strongly
analytic extension to a semi - group S ( ) defined for & in the half plane R ( S ) > 0
.
... ( p ) T ( 29 ) ( RN ) is the infinitesimal generator of a strongly continuous semi -
group s ( t ) , t 20 , of bounded linear operators in HP and S ( t ) has a strongly
analytic extension to a semi - group S ( ) defined for & in the half plane R ( S ) > 0
.
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 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 |