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 76
Page 1909
Yath Math John Wiley & Song 9-3-72 C068658-142 Add id add . copy со Preface As stated in the Preface to Part I of this treatise , our original intention was to include the theory of spectral operators in Part II .
Yath Math John Wiley & Song 9-3-72 C068658-142 Add id add . copy со Preface As stated in the Preface to Part I of this treatise , our original intention was to include the theory of spectral operators in Part II .
Page 2112
which cover C. ( iii ) The operator T admits a duality theory of type 3 if for arbitrary open sets G1 , ... , Gn which cover the complex plane , there exist closed linear subspaces M1 , ... , M , which span X , are invariant under T ...
which cover C. ( iii ) The operator T admits a duality theory of type 3 if for arbitrary open sets G1 , ... , Gn which cover the complex plane , there exist closed linear subspaces M1 , ... , M , which span X , are invariant under T ...
Page 2227
Introduction It was own in the course of Chapters XII , XIII , and XIV that in order to apply the spectral theory of Hermitian operators to ordinary and partial differential operators it is first necessary to extend the spectral theory ...
Introduction It was own in the course of Chapters XII , XIII , and XIV that in order to apply the spectral theory of Hermitian operators to ordinary and partial differential operators it is first necessary to extend the spectral theory ...
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 defined Definition denote dense determined differential operator domain elements equation equivalent established exists extension finite follows formal formula 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 |