## Linear operators. 2. Spectral theory : self adjoint operators in Hilbert Space |

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**Closure**Theorems It was As in the preceding section the letter R will stand for a nondiscrete locally compact Abelian group and integration will always be performed with respect to a Haar measure on the group . observed in Corollary 5.2 ...Page 1226

The minimal closed symmetric extension of a symmetric operator T with dense domain is called its

The minimal closed symmetric extension of a symmetric operator T with dense domain is called its

**closure**, and written T. 8 LEMMA . ( a ) The**closure**T of T is the restriction of T * to the**closure**of D ( T ) in the Hilbert space D ( T ...Page 1687

tinuous in the

tinuous in the

**closure**of D. This will evidently imply the truth of the present theorem . First suppose that U is disjoint from the boundary of D. Then h ; F is a distribution whose carrier is a compact set contained in U ( cf.### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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### Other editions - View all

Linear Operators, Part 2: Spectral Theory, Self Adjoint Operators in Hilbert ... Nelson Dunford,Jacob T. Schwartz No preview available - 1988 |

Linear Operators, Part 2: Spectral Theory, Self Adjoint Operators in Hilbert ... Nelson Dunford,Jacob T. Schwartz No preview available - 1988 |

### Common terms and phrases

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