Linear Operators: Spectral operators |
From inside the book
Results 1-3 of 85
Page 2160
It will next be shown that the vector x - y is in the closure of the manifold ( 1 . 1 – T
) X . To see this it will , in view of Corollary II . 3 . 13 , suffice to show that x * ( x - y
) = 0 for every linear functional x * which vanishes on ( 101 – T ) X . If xc * is ...
It will next be shown that the vector x - y is in the closure of the manifold ( 1 . 1 – T
) X . To see this it will , in view of Corollary II . 3 . 13 , suffice to show that x * ( x - y
) = 0 for every linear functional x * which vanishes on ( 101 – T ) X . If xc * is ...
Page 2246
It may be shown in precisely the same way that if J is a subset of the class of
positive integers , and Hj = Enes Hin ) , then the spectrum of the restriction C | H ,
is J . Since ( iI – C ) - 1 is bounded , il – C is closed . Thus C is closed . Let Pin ...
It may be shown in precisely the same way that if J is a subset of the class of
positive integers , and Hj = Enes Hin ) , then the spectrum of the restriction C | H ,
is J . Since ( iI – C ) - 1 is bounded , il – C is closed . Thus C is closed . Let Pin ...
Page 2266
It will be shown that C is a dense o - ideal in B and thus , in defining the
multiplicity on B , Lemma 2 permits us to restrict our attention to C . 5 LEMMA .
The set 6 is a dense o - ideal in B . A projection belongs to C if and only if it is the
carrier ...
It will be shown that C is a dense o - ideal in B and thus , in defining the
multiplicity on B , Lemma 2 permits us to restrict our attention to C . 5 LEMMA .
The set 6 is a dense o - ideal in B . A projection belongs to C if and only if it is the
carrier ...
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 |