## Linear Operators: General theory |

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Page 289

A result analogous to that of Theorem 1 may be

A result analogous to that of Theorem 1 may be

**obtained**by assuming that ( S , E , u ) is a o - finite measure space . 5 THEOREM . If ( S , E , u ) is a positive o - finite measure space , there is an isometric isomorphism between L ...Page 387

among other things , that the Bohr compactification of a locally compact Abelian group G may be

among other things , that the Bohr compactification of a locally compact Abelian group G may be

**obtained**by taking the character group Ĝ of G , equipping Ĝ with its discrete topology , and then taking the character group of this ...Page 395

Representation theorems for non - normed spaces , similar to those cited above , have been

Representation theorems for non - normed spaces , similar to those cited above , have been

**obtained**by Kuller [ 1 ] . The following is an incomplete list of works primarily concerned with various aspects of the theory of ordered spaces ...### 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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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