## Linear Operators: General theory |

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Page v

I Preface In the two parts of Linear Operators we endeavor to give a comprehensive survey of the general

I Preface In the two parts of Linear Operators we endeavor to give a comprehensive survey of the general

**theory**of linear operations , together with a survey of the application of this general**theory**to the diverse fields of more ...Page viii

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

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

**theory**given in Chapter XIX . Surveying in netrospect the**theories**presented in the following twenty chapters , it seems to the authors that the general**theory**of the first ...Page 730

The

The

**theory**of Markov processes is a generalization of the**theory**of point transformations . The ergodic**theory**of such processes has been treated by Doob [ 2 , 3 ] , Kakutani [ 16 ] , Yosida [ 9 ] , Yosida and Kakutani [ 2 ] , and most ...### What people are saying - Write a review

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

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### Common terms and phrases

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