## Linear Operators: Spectral theory |

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Page 889

5 ) , every set in the domain of a spectral measure satisfying ( iii ) is necessarily

an open and closed subset of o ( T ) and ... a spectral measure which is defined

on the Boolean algebra B of all

for ...

5 ) , every set in the domain of a spectral measure satisfying ( iii ) is necessarily

an open and closed subset of o ( T ) and ... a spectral measure which is defined

on the Boolean algebra B of all

**Borel sets**in the plane and which satisfies ( iv )for ...

Page 894

2 ) that x * E ( 8 ) x = 0 for every

* € X * . It follows ( II . 3 . 15 ) that E ( d ) = 0 . Thus if E and A are bounded additive

regular operator valued set functions defined on the

2 ) that x * E ( 8 ) x = 0 for every

**Borel set**8 in S and every pair x , x * with x e X , x* € X * . It follows ( II . 3 . 15 ) that E ( d ) = 0 . Thus if E and A are bounded additive

regular operator valued set functions defined on the

**Borel sets**of a normal ...Page 913

Let E be the spectral resolution for T and let vn ( e ) = ( E ( e ) yn , yn ) for each

= 0 , and such that if e is a Borel subset of the complement en of en and no v ; ( e

) ...

Let E be the spectral resolution for T and let vn ( e ) = ( E ( e ) yn , yn ) for each

**Borel set**e . ... 14 ) , let { en } be a sequence of**Borel sets**such that n - ö v ; ( en )= 0 , and such that if e is a Borel subset of the complement en of en and no v ; ( e

) ...

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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