## Linear Operators: General theory |

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Page 143

The o - field 2 * is known as the

E , and the measure space ( S , £ * , u ) is the

space ( S , E , u ) . Expressions such as u - simple function , totally u ...

The o - field 2 * is known as the

**Lebesgue**extension ( relative to u ) of the o - fieldE , and the measure space ( S , £ * , u ) is the

**Lebesgue**extension of the measurespace ( S , E , u ) . Expressions such as u - simple function , totally u ...

Page 218

Let | be a vector valued

Euclidean n - space . The set of all points p at which lim - H ( q ) - f ( p ) \ u ( dq ) =

0 M ( C ) - 0 4 ( C ) JC " is called the

Let | be a vector valued

**Lebesgue**integrable function defined on an open set inEuclidean n - space . The set of all points p at which lim - H ( q ) - f ( p ) \ u ( dq ) =

0 M ( C ) - 0 4 ( C ) JC " is called the

**Lebesgue**set of the function f . Clearly , the ...Page 223

5 Let h be a function of bounded variation on the interval ( a , b ) and continuous

on the right . Let g be a function defined on ( a , b ) such that the

Stieltjes integral I = Sog ( s ) dh ( s ) exists . Let f be a continuous increasing

function ...

5 Let h be a function of bounded variation on the interval ( a , b ) and continuous

on the right . Let g be a function defined on ( a , b ) such that the

**Lebesgue**-Stieltjes integral I = Sog ( s ) dh ( s ) exists . Let f be a continuous increasing

function ...

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### Contents

Special Spaces | 237 |

Convex Sets and Weak Topologies | 409 |

General Spectral Theory | 555 |

Copyright | |

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