## Linear Operators: General theory |

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Page 171

23

additive and bounded .

. Show that * contains every Borel set . 24

topological ...

23

**Suppose**that S is a metric space , that is a o - field , and that u is countablyadditive and bounded .

**Suppose**that every continuous function is u - measurable. Show that * contains every Borel set . 24

**Suppose**that S is a compacttopological ...

Page 225

Let U be a bounded open set in the complex plane , and let B denote the

boundary of U. We

rectifiable Jordan curves ; that is , we

union ...

Let U be a bounded open set in the complex plane , and let B denote the

boundary of U. We

**suppose**that B consists of a finite collection of disjoint closedrectifiable Jordan curves ; that is , we

**suppose**that B can be decomposed into theunion ...

Page 360

OS XS21 23

The convergence of Snt is localized . Show that for any f in CBV , ( Sf ) ( x ) + f ( x )

uniformly in x ' . 24

OS XS21 23

**Suppose**that ( i ) ( S.f ) ( x ) → / ( x ) uniformly in x for f in AC . ( ii )The convergence of Snt is localized . Show that for any f in CBV , ( Sf ) ( x ) + f ( x )

uniformly in x ' . 24

**Suppose**( i ) , ( ii ) of the last exercise . Show that if f is in ...### What people are saying - Write a review

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### Contents

B Topological Preliminaries | 10 |

quences | 26 |

Algebraic Preliminaries | 34 |

Copyright | |

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