## Linear Operators: General theory |

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Page 137

An additive set function u defined on a field E of subsets of a topological space S

is said to be

contained in E and a set G in whose interior contains E such that \ u ( C ) < ε for ...

An additive set function u defined on a field E of subsets of a topological space S

is said to be

**regular**if for each Ee and ε > 0 there is a set F in E whose closure iscontained in E and a set G in whose interior contains E such that \ u ( C ) < ε for ...

Page 170

17 Suppose that S is a normal topological space and that u is

defined on the field of Borel sets in S . Show that if X is separable , the set of

continuous functions in TM ( S , E , u , X ) is dense in TM ( S , E , u , X ) . Show that

for 1 < p ...

17 Suppose that S is a normal topological space and that u is

**regular**anddefined on the field of Borel sets in S . Show that if X is separable , the set of

continuous functions in TM ( S , E , u , X ) is dense in TM ( S , E , u , X ) . Show that

for 1 < p ...

Page 853

( See Reflexivity )

( See Reflexivity )

**Regular**closure , ( 462 – 463 )**Regular**convexity , ( 462 - 463 )**Regular**element in a ring , ( 40 )**Regular**method of summability , II . 4 . 35 ( 75 )**Regular**set function . ( See also Set function ) additional properties , III . 9 .### What people are saying - Write a review

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### Contents

Special Spaces | 237 |

Convex Sets and Weak Topologies | 409 |

General Spectral Theory | 555 |

Copyright | |

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