Linear Operators: Spectral operators |
From inside the book
Results 1-3 of 56
Page 2044
On the real axis 0 = 0 and hence , since T ( t ) is strongly continuous at t = 0 , ( 82
) T ( t ) l SK , Ost < 00 , a fact which also follows from ( 61 ) . The inequality ( 81 )
shows that T ( 5 ) is strongly continuous at $ = 0 provided remains in a sector - 4 ...
On the real axis 0 = 0 and hence , since T ( t ) is strongly continuous at t = 0 , ( 82
) T ( t ) l SK , Ost < 00 , a fact which also follows from ( 61 ) . The inequality ( 81 )
shows that T ( 5 ) is strongly continuous at $ = 0 provided remains in a sector - 4 ...
Page 2194
Strongly Closed Algebras and Complete Boolean Algebras In this section an
attempt will be made to characterize the strong closure of a commutative algebra
of spectral operators . It has been observed ( cf . VI . 1 . 5 ) that a convex set in the
...
Strongly Closed Algebras and Complete Boolean Algebras In this section an
attempt will be made to characterize the strong closure of a commutative algebra
of spectral operators . It has been observed ( cf . VI . 1 . 5 ) that a convex set in the
...
Page 2220
... Tư ) → R ( 1 ; T ) strongly . Now let r be an element of the class R ( V ) of
rational functions which are continuous on V . Then r ( Ta ) is a finite product of
terms of the form XI – Tą and R ( 2 ; T . ) . Thus , since the product of bounded ,
strongly ...
... Tư ) → R ( 1 ; T ) strongly . Now let r be an element of the class R ( V ) of
rational functions which are continuous on V . Then r ( Ta ) is a finite product of
terms of the form XI – Tą and R ( 2 ; T . ) . Thus , since the product of bounded ,
strongly ...
What people are saying - Write a review
We haven't found any reviews in the usual places.
Other editions - View all
Common terms and phrases
algebra of projections analytic apply arbitrary assumed B-space Banach space Boolean algebra Borel sets boundary conditions bounded bounded Borel bounded operator Chapter clear closure commuting compact complete 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 formula given gives Hence Hilbert space hypothesis identity inequality integral invariant inverse Lemma limit linear linear operator manifold Math Moreover multiplicity norm normal 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 strongly subset subspace sufficiently Suppose Theorem theory topology unbounded uniformly unique valued vector weakly zero
Bibliographic information
| Title | Linear Operators: Spectral operators Part 3 of Linear Operators, Jacob T. Schwartz Volume 7 of Pure & Applied Mathematics : a Wiley-interscience series of texts, monographs & tracts Volume 7 of Pure and applied mathematics : a series of texts and monographs Volume 7 of Pure and applied mathematics Interscience Press Pure and applied mathematics, ISSN 0079-8185 Wiley classics library |
| Authors | Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle |
| Editors | William G. Bade, Robert G. Bartle |
| Contributor | Karreman Mathematics Research Collection |
| Edition | reprint |
| Publisher | Interscience Publishers, 1958 |
| ISBN | 0471226394, 9780471226390 |
| Length | 2592 pages |
| Export Citation | BiBTeX EndNote RefMan |