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 88
Page 2011
For every set o in and every such matrix  ( s ) we define the matrix ( 1 ) A ( 8 ) = 4
( 8 ) , 8 , 8€0 , and the operator  , in HP according to the equations ... It is clear
that for such sets o the operator  , is a bounded everywhere defined operator .
For every set o in and every such matrix  ( s ) we define the matrix ( 1 ) A ( 8 ) = 4
( 8 ) , 8 , 8€0 , and the operator  , in HP according to the equations ... It is clear
that for such sets o the operator  , is a bounded everywhere defined operator .
Page 2018
in the notation for the natural closed extension As , for in this case the symbol A is
used for the restriction As to 0 , that is , the formal differential operator which
defines As . The spectra of the unbounded operators we have been discussing in
...
in the notation for the natural closed extension As , for in this case the symbol A is
used for the restriction As to 0 , that is , the formal differential operator which
defines As . The spectra of the unbounded operators we have been discussing in
...
Page 2284
Moreover , there is a natural continuous linear map T , of EnX into { = 1 L , ( P , B ,
) with densely defined inverse . ... As the measures My are finite , W , is defined
and continuous , and the map An = Wn1T , is a densely defined closed map of E
...
Moreover , there is a natural continuous linear map T , of EnX into { = 1 L , ( P , B ,
) with densely defined inverse . ... As the measures My are finite , W , is defined
and continuous , and the map An = Wn1T , is a densely defined closed map of E
...
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 |