## Linear Operators: Spectral theory |

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Page 1239

Conversely , let T , be a self adjoint

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 therestriction 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

symmetric operator has a self adjoint

determining whether the spectral theorem may be employed . If the answer to this

...

**Extensions**of symmetric operators . The problem of determining whether a givensymmetric operator has a self adjoint

**extension**is of crucial importance indetermining 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

particular

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 theparticular

**extension**chosen , i . e . , is independent of the particular set ofboundary ...

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### Contents

IX | 859 |

Eigenvalues and Eigenvectors | 903 |

Spectral Representation | 911 |

Copyright | |

15 other sections not shown

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