Linear Operators, Part 2 |
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Page 1290
that since time ( 1,7 ) * , the operator n d i di Σ ( ( -1 ) ( ) * 2.60 ) CO Pilt ) dt low i = 0 . is formally self adjoint provided only that the coefficients p . are real . In the same way , the formal differential operator ( i / 2 ) ...
that since time ( 1,7 ) * , the operator n d i di Σ ( ( -1 ) ( ) * 2.60 ) CO Pilt ) dt low i = 0 . is formally self adjoint provided only that the coefficients p . are real . In the same way , the formal differential operator ( i / 2 ) ...
Page 1486
Equations with periodic coefficients ( which are fundamental in the quantum - mechanical theory of solid crystals ) have a number of interesting and important properties . In the next few paragraphs t denotes a formally self adjoint ...
Equations with periodic coefficients ( which are fundamental in the quantum - mechanical theory of solid crystals ) have a number of interesting and important properties . In the next few paragraphs t denotes a formally self adjoint ...
Page 1730
... are multiply periodic of period 2.r in the variables y 91 , ... , Yn - 11 For partial differential operators in R with coefficients belonging to 0 ( R ) , we may state the following analogue of the Gårding inequality , Lemma 10.
... are multiply periodic of period 2.r in the variables y 91 , ... , Yn - 11 For partial differential operators in R with coefficients belonging to 0 ( R ) , we may state the following analogue of the Gårding inequality , Lemma 10.
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Contents
BAlgebras | 859 |
Bounded Normal Operators in Hilbert Space | 887 |
Miscellaneous Applications | 937 |
Copyright | |
13 other sections not shown
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 given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure multiplicity Nauk neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result Russian satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero
Bibliographic information
| Title | Linear Operators, Part 2 Linear Operators, Jacob T. Schwartz Volume 7 of Pure and applied mathematics |
| Authors | Nelson Dunford, Jacob T. Schwartz |
| Publisher | Interscience Publishers, 1982 |
| Original from | the University of Michigan |
| Digitized | 2 Feb 2010 |
| ISBN | 0471869139, 9780471869139 |
| Export Citation | BiBTeX EndNote RefMan |