## Linear Operators, Part 2 |

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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 have ...

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 have ...

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

...

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 of boundary...

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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