Linear Operators: Spectral theory |
From inside the book
Results 1-3 of 83
Page 1224
Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. ( b ) If T ,
is symmetric then every symmetric extension T , of Tı , and , in particular , every
self adjoint extension of Tı , satisfies T , CT , CT CT * Proof . If T , CT , and ye D ( T
...
Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. ( b ) If T ,
is symmetric then every symmetric extension T , of Tı , and , in particular , every
self adjoint extension of Tı , satisfies T , CT , CT CT * Proof . If T , CT , and ye D ( T
...
Page 1236
Every closed symmetric extension of T is the restriction of T * to the subspace of D
( T * ) determined by a symmetric family of boundary conditions , B ; ( x ) = 0 , i = 1
, . . . , k . Conversely , every such restriction T , of 1 * is a closed symmetric ...
Every closed symmetric extension of T is the restriction of T * to the subspace of D
( T * ) determined by a symmetric family of boundary conditions , B ; ( x ) = 0 , i = 1
, . . . , k . Conversely , every such restriction T , of 1 * is a closed symmetric ...
Page 1272
123 ] and Ahiezer and Glazman [ 1 ; Secs . 78 – 80 ] . Maximal symmetric
operators . If T is a symmetric operator with dense domain , then it has proper
symmetric extensions provided both of its deficiency indices are different from
zero .
123 ] and Ahiezer and Glazman [ 1 ; Secs . 78 – 80 ] . Maximal symmetric
operators . If T is a symmetric operator with dense domain , then it has proper
symmetric extensions provided both of its deficiency indices are different from
zero .
What people are saying - Write a review
We haven't found any reviews in the usual places.
Contents
BAlgebras | 859 |
Commutative BAlgebras | 868 |
Commutative BAlgebras | 874 |
Copyright | |
36 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 satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero
References to this book
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, 1963 |
| Original from | the University of Michigan |
| Digitized | 20 Nov 2007 |
| ISBN | 0470226382, 9780470226384 |
| Length | 2592 pages |
| Export Citation | BiBTeX EndNote RefMan |