## Linear Operators: General theory |

### From inside the book

Results 1-3 of 67

Page 477

strong , and the weak

strong , and the weak

**operator**topologies in B ( X , Y ) . It is evident that the uniform**operator**topology is stronger than the strong**operator**topology ...Page 511

Show that the strong topology of

Show that the strong topology of

**operators**in B ( X , Y ) is identical with ... 2 A set AC B ( X , Y ) is compact in the weak**operator**topology if and only ...Page 838

8 ( 223 ) Borel - Stieltjes measure , ( 142 ) Bound , of an

8 ( 223 ) Borel - Stieltjes measure , ( 142 ) Bound , of an

**operator**, II . 3 . 5 ( 60 ) in a partially ordered set , I . 2 .### 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