## Linear Operators: General theory |

### From inside the book

Results 1-3 of 65

Page 237

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

below . The results of these studies are presented in tabular form in Section 14

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

**problems**listedbelow . The results of these studies are presented in tabular form in Section 14

**Problem**. What is an analytical representation of the conjugate space X * of the ...Page 613

A corresponding

valued functions defined on the range t 2 0 , which satisfy the equations ( i ) T ( t +

u ) = T ( t ) T ( u ) , T ( 0 ) = I , t , u 20 . An operator valued function T ( t ) satisfying

...

A corresponding

**problem**is to determine the most general continuous operatorvalued functions defined on the range t 2 0 , which satisfy the equations ( i ) T ( t +

u ) = T ( t ) T ( u ) , T ( 0 ) = I , t , u 20 . An operator valued function T ( t ) satisfying

...

Page 777

6 . Sur une généralisation du théorème de Plancherel au cas des intégrales de

Fourier sur les groupes topologiques commutatifs . Doklady Akad . Nauk SSSR (

N. S. ) 30 , 484-488 ( 1941 ) . 7. Infinite Jumatrices and a matrix moment

.

6 . Sur une généralisation du théorème de Plancherel au cas des intégrales de

Fourier sur les groupes topologiques commutatifs . Doklady Akad . Nauk SSSR (

N. S. ) 30 , 484-488 ( 1941 ) . 7. Infinite Jumatrices and a matrix moment

**problem**.

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

quences | 26 |

Copyright | |

81 other sections not shown

### Other editions - View all

### 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