## Linear Operators: General theory |

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Page 186

The product of finite

Proof . This fact follows immediately from the formula for u ( E ) given in Corollary

4. Q.E.D. It is now easy to extend the definition of the product measure to the ...

The product of finite

**positive measure**spaces is a finite**positive measure**space .Proof . This fact follows immediately from the formula for u ( E ) given in Corollary

4. Q.E.D. It is now easy to extend the definition of the product measure to the ...

Page 212

Let be a finite

metric space S. A set A CS is said to be covered in the sense of Vitali by a family

F of closed sets if each F € F has positive u - measure and there is a positive ...

Let be a finite

**positive measure**defined on the o - field of Borel sets of a compactmetric space S. A set A CS is said to be covered in the sense of Vitali by a family

F of closed sets if each F € F has positive u - measure and there is a positive ...

Page 500

The proof will be based upon the following three lemmas whose statements

require the introduction of the following notation : If = { EZ , ... , En } and a ' = ( F1 ,

... , Fm } are two partitions of S into disjoint sets in E of

' 2 ...

The proof will be based upon the following three lemmas whose statements

require the introduction of the following notation : If = { EZ , ... , En } and a ' = ( F1 ,

... , Fm } are two partitions of S into disjoint sets in E of

**positive measure**we write r' 2 ...

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### Contents

B Topological Preliminaries | 10 |

quences | 26 |

Algebraic Preliminaries | 34 |

Copyright | |

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