Linear Operators: Spectral theory |
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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 ...
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Contents
IX | 859 |
Eigenvalues and Eigenvectors | 903 |
Spectral Representation | 911 |
Copyright | |
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