Document Details

Document Type : Article In Journal 
Document Title :
The Integral Structure of Some Bounded Operators on L1 (it, X)
البناء الصّحيح لبعض العمليات المحددة على (it, X)
 
Subject : The Integral Structure of Some Bounded Operators on L1 (it, X) 
Document Language : English 
Abstract : Let (S, F, p) he a finite measure space and let X be a Banach space. As usual. L1 (ti, X) is the Banach space of all Bochner i—integrabl.e functions J’ : S —f X, with L1 (ps, X) = L1 (,u) if X = R. This work is intended for the study of a class of linear bounded operators T : L1 (,u, X) X, whose integral structure is much similar to that of bounded functionais on L1 (/L). We give two complete characterizations of this class. The first one, which may be considered as a Riesz type theorem, is obtained via integrals by functions in L (pt). Actually the identified class is isometrically isomorphic to L (pt). The second characterization is more specific. It pertains to an operator valued, measure, that will be attached to each operator of the class. This operator valued measure will he absolutely continuous with respect to p arid this property will be used to get another interesting characterization of the class under consideration. 
ISSN : 5576-1312 
Journal Name : international journal of mathematical analysis 
Volume : 2 
Issue Number : 9 
Publishing Year : 1429 AH
2008 AD 
Article Type : Article 
Added Date : Saturday, February 9, 2013 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
لخضر مبارك الميزانيmeziani, Lakhdar mubarkResearcherDoctoratemezianilakhdar@hotmail.com

Files

File NameTypeDescription
 34982.pdf pdf 

Back To Researches Page