## Linear Operators: Spectral theory |

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Page 878

Clearly the requirement that x and g ( u ) = u be

determines the * -isomorphism uniquely and we are thus led to the following

definition . 12 DEFINITION . Let æ be an element of a commutative B * -algebra

and let fe C ...

Clearly the requirement that x and g ( u ) = u be

**corresponding**elementsdetermines the * -isomorphism uniquely and we are thus led to the following

definition . 12 DEFINITION . Let æ be an element of a commutative B * -algebra

and let fe C ...

Page 942

Thus every eigenfunction of T , which

finite dimensional continuous function . Hence N is orthogonal to every

eigenfunction of T , except to those

X.3.4 ...

Thus every eigenfunction of T , which

**corresponds**to a non - zero eigenvalue is afinite dimensional continuous function . Hence N is orthogonal to every

eigenfunction of T , except to those

**corresponding**to a 0. It follows from TheoremX.3.4 ...

Page 1729

It should be evident from this last formula that much as in the

of the space ° ( C ) , we may regard any point x = [ x1 , y ] for which 0 < x < 27 as

belonging , in a suitable sense , to the interior of C ; that is , to argue at such a ...

It should be evident from this last formula that much as in the

**corresponding**caseof the space ° ( C ) , we may regard any point x = [ x1 , y ] for which 0 < x < 27 as

belonging , in a suitable sense , to the interior of C ; that is , to argue at such a ...

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### Contents

SPECTRAL THEORY Self Adjoint Operators in Hilbert Space | 858 |

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Copyright | |

57 other sections not shown

### Common terms and phrases

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