## Linear Operators: Spectral theory |

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Page 996

Thus , by hypothesis , olf * 9 )

Lemma 19 . Q . E . D . The next result shows in a striking manner the relations

between the study of spectral synthesis and the original L , closure theorem of N .

Wiener .

Thus , by hypothesis , olf * 9 )

**contains**an isolated point which contradictsLemma 19 . Q . E . D . The next result shows in a striking manner the relations

between the study of spectral synthesis and the original L , closure theorem of N .

Wiener .

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 * . This readily yields a ...Page 1456

Suppose for definiteness that I ,

I , so that , unless I = I ( in which case t = t , and t is evidently bounded below ) , I ,

Suppose for definiteness that I ,

**contains**a neighborhood of the left end point a ofI , so that , unless I = I ( in which case t = t , and t is evidently bounded below ) , I ,

**contains**a neighborhood of the right end point b of 1 . Unless 12 = 1 , in which ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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