## Linear Operators: Spectral theory |

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Page 1218

Let u be a finite positive regular measure on the Borel sets of a topological space

R . Then , for every B - space valued

0 there is a Borel set o in R with u ( o ) < ε and such that the restriction of f to ...

Let u be a finite positive regular measure on the Borel sets of a topological space

R . Then , for every B - space valued

**u**-**measurable**function f on R and every e >0 there is a Borel set o in R with u ( o ) < ε and such that the restriction of f to ...

Page 1221

Thus om is the intersection of a sequence of measurable sets , and it follows that

Om is

proof of the theorem , suppose that the functions W . ( : , 1 ) , . . . , W , ( : , 1 ) are

not ...

Thus om is the intersection of a sequence of measurable sets , and it follows that

Om is

**u**-**measurable**, completing the proof of statement ( i ) . To complete theproof of the theorem , suppose that the functions W . ( : , 1 ) , . . . , W , ( : , 1 ) are

not ...

Page 1341

Let { uis } be a positive matrix measure whose elements are continuous with

respect to a positive o - finite measure u . If { mij } is the matrix of densities of Mij

with respect to u , then there exist nonnegative

. . .

Let { uis } be a positive matrix measure whose elements are continuous with

respect to a positive o - finite measure u . If { mij } is the matrix of densities of Mij

with respect to u , then there exist nonnegative

**u**-**measurable**functions Vi , i = 1 ,. . .

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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