## Linear Operators, Part 1 |

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Page 106

The functions totally

measurable on S are the functions in the closure TM ( S ) in F ( S ) of the u -

simple functions . If for every E in with v ( u , E ) < 00 , the product det off with the

characteristic ...

The functions totally

**u**-**measurable**on S , or , if u is understood , totallymeasurable on S are the functions in the closure TM ( S ) in F ( S ) of the u -

simple functions . If for every E in with v ( u , E ) < 00 , the product det off with the

characteristic ...

Page 149

If ( S , E , u ) is a measure space , then a function | on S to a B - space X is

function | is u - essentially separably valued on F , and ( ii ) for every linear

functional x ...

If ( S , E , u ) is a measure space , then a function | on S to a B - space X is

**u**-**measurable**if and only if ( i ) for every measurable set F with v ( u , F ) < 0 , thefunction | is u - essentially separably valued on F , and ( ii ) for every linear

functional x ...

Page 178

XF ( s ) / ( s ) g ( s ) = lim % F , ( s ) / ( s ) g ( s ) , SES , and the pointwise limit of a

sequence of

% 5,1g is

XF ( s ) / ( s ) g ( s ) = lim % F , ( s ) / ( s ) g ( s ) , SES , and the pointwise limit of a

sequence of

**measurable**functions is**measurable**, it will suffice then to show that% 5,1g is

**measurable**. Thus we may and shall assume that v (**u**, F ) < oo and v ...### What people are saying - Write a review

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### Contents

Preliminary Concepts | 1 |

The VitaliHahnSaks Theorem and Spaces of Measures | 7 |

B Topological Preliminaries | 10 |

Copyright | |

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### Common terms and phrases

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