Matrix transformations and generators of analytic semigroupsReport as inadecuate

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Journal of Inequalities and Applications

, 2006:67062

First Online: 30 July 2006Received: 03 May 2006Revised: 08 June 2006Accepted: 15 June 2006


We establish a relation between the notion of an operator of an analytic semigroup and matrix transformations mapping from a set of sequences intoOpen image in new window, whereOpen image in new window is either of the setsOpen image in new window,Open image in new window, orOpen image in new window. We get extensions of some results given by Labbas and de Malafosse concerning applications of the sum of operators in the nondifferential case.

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Author: Bruno de Malafosse - Ahmed Medeghri



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