## Linear Operators: Spectral theory |

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Page 889

... of

measure E defined on the Borel sets in the plane and satisfying ( iv ) for every

Borel set d and ( v ) for every sequence { d ; } of

resolution ...

... of

**disjoint**Borel sets ( v ) SED , E ( 8 ) x = E ( US ; ) x , EH . i = 1 A spectralmeasure E defined on the Borel sets in the plane and satisfying ( iv ) for every

Borel set d and ( v ) for every sequence { d ; } of

**disjoint**Borel sets is called aresolution ...

Page 958

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. ylez ) and

that E ( e ) yley ) = 0 if e , and e , are

orthogonal whenever e , and e , are

yley u ...

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. ylez ) and

that E ( e ) yley ) = 0 if e , and e , are

**disjoint**. Thus y ( e , ) and ( ez ) areorthogonal whenever e , and e , are

**disjoint**. Hence if e , and eg are**disjoint**thenyley u ...

Page 1151

R = Un _ K . We observe that if A and B are

an integer , then there is an open set U CR such that An K , CU and U n B = $ .

This is true since for each pe An Kn there is an open set U ( p ) such that pe U ( p

) ...

R = Un _ K . We observe that if A and B are

**disjoint**closed subsets of R and if n isan integer , then there is an open set U CR such that An K , CU and U n B = $ .

This is true since for each pe An Kn there is an open set U ( p ) such that pe U ( p

) ...

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

11 other sections not shown

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