## Linear Operators: General theory |

### From inside the book

Results 1-3 of 42

Page 213

PROOF . To prove statement ( a ) let U be an arbitrary open set such that A CUCG and let F be the family of all closed cubes C contained in U satisfying 2 ( C ) < ru ( C ) . Since every cube C

PROOF . To prove statement ( a ) let U be an arbitrary open set such that A CUCG and let F be the family of all closed cubes C contained in U satisfying 2 ( C ) < ru ( C ) . Since every cube C

**satisfies**M ( S ...Page 464

... suprek Rf ( x ) < 00 ; moreover , each linear functional Ø on I which

... suprek Rf ( x ) < 00 ; moreover , each linear functional Ø on I which

**satisfies**6-0 60 inf R / ( x ) RO ( ) sup R } ( x ) , fer REK XEK fel also**satisfies**( 1 ) = f ( « o ) , for some X , € K. ( 4 ) If KE , & < 0 , 0 a limit ordinal ...Page 557

Consequently , the product R , of all the factors ( 2-24 ) * in R such that di € o ( T ) , still

Consequently , the product R , of all the factors ( 2-24 ) * in R such that di € o ( T ) , still

**satisfies**R ( T ) = 0. In the same way , the product R , of all the factors ( 1-2 ; Bi , where Bi min ( Qig v ( 2 ; ) ) ,**satisfies**R ( T ) ...### 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 | |

80 other sections not shown

### Other editions - View all

### Common terms and phrases

Akad algebra Amer analytic applied arbitrary assume B-space Banach Banach spaces bounded called clear closed compact complex Consequently contains converges convex Corollary countably additive defined DEFINITION denote dense determined differential disjoint domain 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 mean measure space metric space neighborhood norm o-field open set operator positive problem Proc PROOF properties proved range regular respect Russian satisfies scalar seen separable sequence set function Show shown sphere statement subset Suppose Theorem theory topological space topology transformations u-integrable u-measurable uniformly union unique unit valued vector weak zero