Document Details

Document Type : Article In Journal 
Document Title :
SOME CHANGE OF VARIABLE FORMULAS IN INTEGRAL REPRESENTATION THEORY
بعض صيغ تغيير المتغيّر
 
Subject : SOME CHANGE OF VARIABLE FORMULAS 
Document Language : English 
Abstract : Let X, Y be Banach spaces and let us denote by C(S, X) the space of all X-valued continuous functions on the compact Hausdorff space S, equipped with the uniform norm. We shall write C(S, X) = C(S) if X = or C. Now, consider a bounded linear operator T: C(S, X) —‘ Y and assume that, due to the effect of a change of variable performed by a bounded operator V : C(S, X) — C(S), the operator T takes the product form T = O•V, with 0 : C(S) —. Y linear and bounded. In this paper, we prove some integral formulas giving the representing measure of the operator T, which appeared as an essential object in integral representation theory. This is made by means of the representiag measure of the operator 0 which is generally easier. Essentially the estimations are of the Radon-Nikodym type and precise formulas are stated for weakly compact and nuclear operators 
ISSN : 9544-0862 
Journal Name : ACTA MATHEMATICA UNIVERSITATIS COMENIANAE 
Volume : 74 
Issue Number : 1 
Publishing Year : 1426 AH
2005 AD 
Article Type : Article 
Added Date : Saturday, February 9, 2013 

Researchers

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

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