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On the relationship between multilinear and multisublinear operators
by
Lahcène Mezrag
Department of Mathematics, Msila University ,BP 166 Ichbilia, M'sila, 28000, Algeria
Coauthors: Khalil Saadi
In this communication , we introduce and study the class of multisublinear operators. We investigate the relation between multilinear and multisublinear operators by given an approach to Hahn-Banach theorem for this class like that proved by Ioffe in the sublinear case. We continue by introducing to this category of operators the concept of Cohen strongly p-summing operators and we show the property of "Pietsch's domination theorem". We end this paper by discussing some relations concerning this concept between multilinear and multisubliner operators.
Date received: January 8, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawh-03.