## Linear Operators: Spectral theory |

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Page 995

Let h be in Ly ( R ) with himo ) 1 and h vanishing on an open set

Let h be in Ly ( R ) with himo ) 1 and h vanishing on an open set

**containing**the remainder of olf * ' ) . It follows from Lemma 12 that the set ( h * f * ° )**contains**at most the single point m , and hence , from Theorem 16 and Lemma ...Page 996

From Lemma 12 ( b ) it is seen that O ( $ * 9 ) Colp ) and from Lemma 12 ( c ) and the equation of if it follows that o ( f * P )

From Lemma 12 ( b ) it is seen that O ( $ * 9 ) Colp ) and from Lemma 12 ( c ) and the equation of if it follows that o ( f * P )

**contains**no interior point of o ( q ) . Hence olf * ) is a closed subset of the boundary of o ( ) .Page 1397

The method of proof is the following : it will be shown that if the theorem is false , then a proper symmetric extension T , of T can be constructed whose domain properly

The method of proof is the following : it will be shown that if the theorem is false , then a proper symmetric extension T , of T can be constructed whose domain properly

**contains**both D ( T ) and the null - space of T * .### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Miscellaneous Applications | 937 |

Compact Groups | 945 |

Copyright | |

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