Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 67062, 14 pages
doi:10.1155/JIA/2006/67062
Matrix transformations and generators of analytic semigroups
1Laboratoire de Mathématiques Appliquées du Havre (LMAH), Université du Havre, BP 4006 IUT Le Havre, Le Havre 76610, France
2Laboratoire de Mathématiques Pures et Appliquées, Université de Mostaganem, BP 227, Mostaganem 27000, Algeria
Received 3 May 2006; Revised 8 June 2006; Accepted 15 June 2006
Copyright © 2006 Bruno de Malafosse and Ahmed Medeghri. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We establish a relation between the notion of an operator of an analytic semigroup and matrix transformations mapping from a set of sequences into χ, where χ is either of the sets l∞, c0, or c. We get extensions of some results given by Labbas and de Malafosse concerning applications of the sum of operators in the nondifferential case.