## Linear Operators: General theory |

### From inside the book

Results 1-3 of 81

Page 143

Then the function u with domain { * is known as the

Then the function u with domain { * is known as the

**Lebesgue**extension of u . The o - field * is known as the**Lebesgue**extension ( relative to u ) of the o ...Page 223

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

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

**Lebesgue**- Stieltjes integral I = Såg ( s ) dh ( s ) exists . Let f be a continuous increasing ...Page 634

( a ) I F and G belong to L ( -00 , 0 ) ( with respect to

( a ) I F and G belong to L ( -00 , 0 ) ( with respect to

**Lebesgue**measure ) , then F * G is defined for almost all t , is a function in L ( -00 , ) ...### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Preliminary Concepts | 1 |

The VitaliHahnSaks Theorem and Spaces of Measures | 7 |

B Topological Preliminaries | 10 |

Copyright | |

87 other sections not shown

### Other editions - View all

### Common terms and phrases

Akad algebra Amer analytic applied arbitrary assumed B-space Banach Banach spaces bounded called clear closed complex Consequently contains converges convex Corollary defined DEFINITION denote dense determined differential dimensional disjoint domain element equation equivalent everywhere Exercise exists extension field finite follows function defined function f given Hence Hilbert space identity implies inequality integral interval isomorphism Lebesgue Lemma limit linear functional linear operator linear space Math measure space metric space neighborhood norm open set positive measure problem projection Proof properties proved range reflexive representation respect Russian satisfies scalar seen separable sequence set function Show shown sphere statement subset Suppose Theorem theory topological space topology u-measurable uniform uniformly unique unit valued vector weak weakly compact zero