## Linear Operators, Part 2 |

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Page 1338

( ii ) we have Misc Üem ) = Erslem ) m = 1 mel for each sequence of disjoint Borel

sets with bounded union . 7 LEMMA . Let { uj } be a positive matrix measure

whose elements Mis are continuous with

.

( ii ) we have Misc Üem ) = Erslem ) m = 1 mel for each sequence of disjoint Borel

sets with bounded union . 7 LEMMA . Let { uj } be a positive matrix measure

whose elements Mis are continuous with

**respect**to a positive o - finite measure u.

Page 1340

Let û be another o - finite positive regular measure with

functions Mis are continuous . Let { ij } be the corresponding matrix of densities ,

and let ( nu } be the matrix of densities of the Mi ; with

...

Let û be another o - finite positive regular measure with

**respect**to which the setfunctions Mis are continuous . Let { ij } be the corresponding matrix of densities ,

and let ( nu } be the matrix of densities of the Mi ; with

**respect**to the measure ( u +...

Page 1738

... e CO ( E ? ) , the function y defined by 4 . ( x ) = 56 ( X1 ) q ( X2 , . . . , ) belongs

to C ( V ) , and Sq ( x1 ) = æ ? - for all sufficiently small dz . Plainly yoV is in CP ( V

+ ) . It follows on integrating by parts p times with

... e CO ( E ? ) , the function y defined by 4 . ( x ) = 56 ( X1 ) q ( X2 , . . . , ) belongs

to C ( V ) , and Sq ( x1 ) = æ ? - for all sufficiently small dz . Plainly yoV is in CP ( V

+ ) . It follows on integrating by parts p times with

**respect**to ty that ( * ) Sv h ( x ) ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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