## Linear Operators: General theory |

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Page 473

Day [ 5 ] showed that

Day [ 5 ] showed that

**uniform**convexity in the neighborhood of a point implies**uniform**convexity , and ( Day [ 4 , 6 ] ) demonstrated that under certain conditions combinations also yield uniformly convex spaces .Page 841

... 1.6.17 ( 23 ) representation as a C - space , almost l -

... 1.6.17 ( 23 ) representation as a C - space , almost l -

**uniform**, criteria for , III.6.2–3 ( 145 ) , III.6.12 ( 149 ) definition , III.6.1 ( 145 )**uniform**, definition , 1.7.1 ( 267 ) properties , 1.7.6–7 ( 28–29 ) Convergence of ...Page 857

... 1.8.5 ( 32 ) remarks on , ( 730 )

... 1.8.5 ( 32 ) remarks on , ( 730 )

**Uniform**operator topology , definition , VI.1.1 ( 475 ) properties , V1.9.11-12 ( 512-513 ) Unit , of a group , ( 34 ) Unit sphere in a normed space , compactness and finite dimensionality of ...### What people are saying - Write a review

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### Contents

B Topological Preliminaries | 10 |

quences | 26 |

Algebraic Preliminaries | 34 |

Copyright | |

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