## Linear Operators: General theory |

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Page 237

Each of these spaces is studied in an attempt to solve the eight

Each of these spaces is studied in an attempt to solve the eight

**problems**listed below . The results of these studies are presented in tabular form in Section ( 14 ) 1**Problem**. What is an analytical representation of the conjugate ...Page 613

A corresponding

A corresponding

**problem**is to determine the most general continuous operator valued functions defined on the range t = 0 , which satisfy the equations ( i ) T ( t + u ) = T ( t ) T ( u ) , T ( 0 ) = 1 , t , u 20 .Page 777

Infinite J - matrices and a matrix moment

Infinite J - matrices and a matrix moment

**problem**. Doklady Akad . Nauk SSSR ( N. S. ) 69 , 125–128 ( 1949 ) . ( Russian ) Math . Rev. 11 , 670 ( 1950 ) . 8 . On the trace formula in perturbation theory . Mat .### What people are saying - Write a review

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

quences | 26 |

Copyright | |

81 other sections not shown

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### Common terms and phrases

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