Linear Operators: Spectral theory |
From inside the book
Results 1-3 of 80
Page 1239
Conversely , let T , be a self adjoint extension of T . Then by Lemma 26 , T , is the
restriction of T * to a subspace W of D ( T * ) determined by a symmetric family of
linearly independent boundary conditions B ; ( x ) = 0 , i = 1 , . . . , k , and we ...
Conversely , let T , be a self adjoint extension of T . Then by Lemma 26 , T , is the
restriction of T * to a subspace W of D ( T * ) determined by a symmetric family of
linearly independent boundary conditions B ; ( x ) = 0 , i = 1 , . . . , k , and we ...
Page 1270
Extensions of symmetric operators . The problem of determining whether a given
symmetric operator has a self adjoint extension is of crucial importance in
determining whether the spectral theorem may be employed . If the answer to this
...
Extensions of symmetric operators . The problem of determining whether a given
symmetric operator has a self adjoint extension is of crucial importance in
determining whether the spectral theorem may be employed . If the answer to this
...
Page 1397
Q . E . D . It follows from Theorem 5 and Corollary 4 that the set of nonisolated
points of the spectrum of a self adjoint extension T of T . ( t ) is independent of the
particular extension chosen , i . e . , is independent of the particular set of
boundary ...
Q . E . D . It follows from Theorem 5 and Corollary 4 that the set of nonisolated
points of the spectrum of a self adjoint extension T of T . ( t ) is independent of the
particular extension chosen , i . e . , is independent of the particular set of
boundary ...
What people are saying - Write a review
We haven't found any reviews in the usual places.
Contents
IX | 859 |
Eigenvalues and Eigenvectors | 903 |
Spectral Representation | 911 |
Copyright | |
15 other sections not shown
Other editions - View all
Common terms and phrases
additive Akad algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complex Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense determined domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function function f given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure multiplicity neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result Russian satisfies seen sequence shown singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero
Bibliographic information
| Title | Linear Operators: Spectral theory Part 2 of Linear Operators, Jacob T. Schwartz Volume 7 of Pure and applied mathematics : a series of texts and monographs Volume 7 of Pure and applied mathematics Interscience Press Volume 7 of Pure and applied mathematics Wiley Classics Library |
| Authors | Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle |
| Contributor | Karreman Mathematics Research Collection |
| Publisher | Interscience Publishers, 1958 |
| Original from | the University of Michigan |
| Digitized | 2 Feb 2010 |
| ISBN | 0470226382, 9780470226384 |
| Length | 2592 pages |
| Export Citation | BiBTeX EndNote RefMan |