Document Details

Document Type : Article In Journal 
Document Title :
Characterizing Linear Bounded Operators
Characterizing Linear Bounded Operators
 
Subject : Characterizing Linear Bounded Operators 
Document Language : English 
Abstract : Let S be a locally compact space and let X be a Banach space. Let us consider the function space C0(S,X) of all continuous functions f : S → X vanishing at infinity, endowed with the uniform topology. We shall be concerned with integral representations of linear bounded operators T : C0(S,X) → X. The main result is a complete characterization of those operators which enjoy an integral form with respect to a scalar measure μ on S. Furthermore we show that such operators also have an integral representation with respect to an operator valued measure G on S with values in L (X,X) , the space of bounded operators on X. Finally, relationships between the different measures are established and this allows to characterize the operators under consideration by their representing measures. 
ISSN : 00000 
Journal Name : International Mathmatical Forum 
Volume : 4 
Issue Number : 5 
Publishing Year : 2009 AH
1430 AD
 
Number Of Pages : 8 
Article Type : Article 
Added Date : Monday, June 29, 2009 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
LakhdarLakhdarInvestigatorDoctorate 
مهاMahaResearcherDoctorate 
SalehSalehResearcherDoctorate 

Back To Researches Page