## Linear Operators: General theory |

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Page 136

There is a

o - field containing a given family of sets . ... additive non - negative extension to

the o - field determined by E . If u is o - finite on Ethen this extension is

There is a

**uniquely**determined smallest field and a**uniquely**determined smallesto - field containing a given family of sets . ... additive non - negative extension to

the o - field determined by E . If u is o - finite on Ethen this extension is

**unique**.Page 202

Nelson Dunford, Jacob T. Schwartz. QEN QEN u ( P Eq ) = IT Ma ( EQ ) , DEA

CEA for every elementary set Prea E , in S . Proof . We will first show that u is

elementary ...

Nelson Dunford, Jacob T. Schwartz. QEN QEN u ( P Eq ) = IT Ma ( EQ ) , DEA

CEA for every elementary set Prea E , in S . Proof . We will first show that u is

**unique**. Let a be another additive set function on £ with the stated value onelementary ...

Page 516

42 Show that in Exercise 38 the set function u is

factor if and only if n - 1 2nd / ( di ( s ) ) converges uniformly to a constant for each

fe B ( S ) . 43 Show that in Exercise 39 the measure u is

42 Show that in Exercise 38 the set function u is

**unique**up to a positive constantfactor if and only if n - 1 2nd / ( di ( s ) ) converges uniformly to a constant for each

fe B ( S ) . 43 Show that in Exercise 39 the measure u is

**unique**up to a positive ...### 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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