Document Details

Document Type : Article In Journal 
Document Title :
Characterizing Linear Bounded Operator svia Integral
تمييز العمّال المتنطّطين الخطّيّين غير مكتمل
 
Subject : Characterizing Linear Bounded Operator svia Integral 
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 funct ioris f : S - X vanishing at infinity, endowed with the uniform topology. We shall be concerned with integral representations of linear bounded operators T : G0(S, X) X. The main result is a complete characterization of those operators which enjoy an integral form with respect to a scalar measure ,u 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 £ (X X), the space of bounded operators on X. Finally, relationships between the diff erent measures are established and this allows to characterize the operators under consideration by their representing measures. 
ISSN : 1312-7594 
Journal Name : International Mathematical Forum 
Volume : 4 
Issue Number : 5 
Publishing Year : 1430 AH
2009 AD 
Article Type : Article 
Added Date : Saturday, February 9, 2013 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
لخضر مبارك الميزانيmezaini, lakhdar mubarkInvestigatorDoctoratemezianilakhdar@hotmail.com

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