## Linear Operators: General theory |

### From inside the book

Results 1-3 of 80

Page v

Preface In the two parts of Linear Operators we endeavor to give a

comprehensive survey of the general

survey of the application of this general

classical analysis .

Preface In the two parts of Linear Operators we endeavor to give a

comprehensive survey of the general

**theory**of linear operations , together with asurvey of the application of this general

**theory**to the diverse fields of moreclassical analysis .

Page vi

of arbitrary operators into the first part ; all material relating to the

completely reducible operators into the second part . Of course , we have

occasionally ...

**theory**of spaces and operators , and all material pertaining to the spectral**theory**of arbitrary operators into the first part ; all material relating to the

**theory**ofcompletely reducible operators into the second part . Of course , we have

occasionally ...

Page viii

close to Chapter XIII , and also discusses some points of the

Chapter XIX . Surveying in netrospect the

twenty chapters , it seems to the authors that the general

chapters ...

close to Chapter XIII , and also discusses some points of the

**theory**given inChapter XIX . Surveying in netrospect the

**theories**presented in the followingtwenty chapters , it seems to the authors that the general

**theory**of the first sevenchapters ...

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

21 other sections not shown

### Other editions - View all

Linear Operators, Part 1 Nelson Dunford,Jacob T. Schwartz,William G. Bade,Robert G. Bartle Snippet view - 1958 |

### Common terms and phrases

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