## Linear Operators: General theory |

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**LEMMA**. Let ( R , ER , 0 ) be the product of finite measure spaces ( S , L , \ ) and ( T , E7 , 2 ) . Let E be a g - null set in R. Then for 2 - almost ...Page 697

To make such a diagram we will use the symbol Ck for

To make such a diagram we will use the symbol Ck for

**Lemma**11 and Dk for its ... The**lemmas**designated by CP . and DP are stated explicitly in**Lemmas**13 and ...Page 699

Q.E.D. We shall now state and prove the

Q.E.D. We shall now state and prove the

**lemma**referred to as CPx . For technical reasons occurring later the following**lemma**is stated for what might be ...### 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 | |

87 other sections not shown

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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