## Linear Operators: General theory |

### From inside the book

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Page v

Thus , a very elaborate analysis (

self - adjoint differential operators is presented , while on the other hand the

theory of locally convex spaces is treated (

connection ...

Thus , a very elaborate analysis (

**Chapter**XIII ) of the spectral theory of ordinaryself - adjoint differential operators is presented , while on the other hand the

theory of locally convex spaces is treated (

**Chapter**V ) rather briefly in itsconnection ...

Page vii

Many of the

have a dual purpose . On the ... to the original and subsequent papers in which

the principal results of the

literature .

Many of the

**chapters**end with sections entitled “ Notes and Remarks ” , whichhave a dual purpose . On the ... to the original and subsequent papers in which

the principal results of the

**chapter**in question have been discussed in theliterature .

Page viii

close to

twenty

close to

**Chapter**XIII , and also discusses some points of the theory given in**Chapter**XIX . Surveying in netrospect the theories presented in the followingtwenty

**chapters**, it seems to the authors that the general theory of the first seven**chapters**...### What people are saying - Write a review

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

80 other sections not shown

### Common terms and phrases

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 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