## Linear Operators: General theory |

### From inside the book

Results 1-3 of 89

Page 89

Occasionally it is necessary to consider metric

Occasionally it is necessary to consider metric

**linear spaces**which are not complete . ... Let X be a**linear space**satisfying properties ( i ) and ( ii ) of ...Page 91

Thus every complete linear metric space can be metrized to be an F - space . Further , a normed

Thus every complete linear metric space can be metrized to be an F - space . Further , a normed

**linear space**is a B - space provided it is complete under ...Page 239

The space I ' " is the

The space I ' " is the

**linear space**of all ordered n - tuples [ , . an ] of scalars Oj , . ... , an with the norm = sup lail . 1 Sisn 4 .### 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