Linear Operators: Spectral theory |
From inside the book
Results 1-3 of 81
Page 1162
... one correspondence with the points of Mo , i . e . , with all the maximal ideals of
the algebra obtained by adjoining an identity to L ( R ) except the point at infinity
of M . Now in an algebra with identity every ideal is contained in a maximal ideal
...
... one correspondence with the points of Mo , i . e . , with all the maximal ideals of
the algebra obtained by adjoining an identity to L ( R ) except the point at infinity
of M . Now in an algebra with identity every ideal is contained in a maximal ideal
...
Page 1318
Suppose that the homogeneous system obtained from equations [ l ' ] and [ 2 ' ]
has a non - trivial solution a ( c ) , B : ( c ) , and let K . ( . ) be the function ( of the
variable s ) obtained by substituting and po for di and Bi in [ t ] . The function K , is
...
Suppose that the homogeneous system obtained from equations [ l ' ] and [ 2 ' ]
has a non - trivial solution a ( c ) , B : ( c ) , and let K . ( . ) be the function ( of the
variable s ) obtained by substituting and po for di and Bi in [ t ] . The function K , is
...
Page 1623
19 = - ( ) on the interval [ 0 , 0 ) ( cf . the end of Section 5 ) obtained by imposing
the boundary condition B ( t ) = f ' ( 0 ) = 0 , namely i po da ul [ a , b ] ) = = la a Java
Let p be a positive Borel measure on the positive real axis , and let o = p - u .
19 = - ( ) on the interval [ 0 , 0 ) ( cf . the end of Section 5 ) obtained by imposing
the boundary condition B ( t ) = f ' ( 0 ) = 0 , namely i po da ul [ a , b ] ) = = la a Java
Let p be a positive Borel measure on the positive real axis , and let o = p - u .
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Contents
IX | 859 |
Eigenvalues and Eigenvectors | 903 |
Spectral Representation | 911 |
Copyright | |
15 other sections not shown
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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 |