## Linear Operators: General theory |

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Page 290

It is obvious that \ w * ) = [ gc , and so fæ * 1 = ' glcNow suppose that ( S , E , u ) is o -

It is obvious that \ w * ) = [ gc , and so fæ * 1 = ' glcNow suppose that ( S , E , u ) is o -

**finite**, and let En be an increasing sequence of measurable ...Page 372

Notes and Remarks

Notes and Remarks

**Finite**dimensional and Hilbert spaces . The notion of a**finite**dimensional space , is of course , an algebraization of ordinary ...Page 519

56 Let ( S , E , u ) be a

56 Let ( S , E , u ) be a

**finite**measure space whose space S is a compact Hausdorff space . If i < p < oo , show that any continuous linear operator from L ...### 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