## Linear Operators: General theory |

### From inside the book

Results 1-3 of 69

Page 369

Consequently , unless x , ( t ) is a

Consequently , unless x , ( t ) is a

**constant**of absolute value 1 , C is a set of at most n + 1 points -15h 5tz ... < tr Sl , and there are**constants**C , ... , Cs with Lil leil 1 , and in terms of which we may write an " interpolation ...Page 516

42 Show that in Exercise 38 the set function u is unique up to a positive

42 Show that in Exercise 38 the set function u is unique up to a positive

**constant**factor if and only if n - 1 X = d / ( $ ' ( s ) ) converges uniformly to a**constant**for each fe B ( S ) . 43 Show that in Exercise 39 the measure u is ...Page 564

Show that if A ( t ) is either

Show that if A ( t ) is either

**constant**or diagonal ( i.e. all entries off the principal diagonal are zero ) , then the above formula for Y ( t ) is correct . 23 The differential system dy / dt = A ( t ) y , where a < t < B = oo ...### What people are saying - Write a review

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

### Contents

Preliminary Concepts | 1 |

The VitaliHahnSaks Theorem and Spaces of Measures | 7 |

B Topological Preliminaries | 10 |

Copyright | |

91 other sections not shown

### Other editions - View all

### Common terms and phrases

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