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Matrix transformations and generators of analytic semigroups

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, where is either of the sets,, or. 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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Correspondence to Bruno de Malafosse.

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de Malafosse, B., Medeghri, A. Matrix transformations and generators of analytic semigroups. J Inequal Appl 2006, 67062 (2006). https://doi.org/10.1155/JIA/2006/67062

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  • DOI: https://doi.org/10.1155/JIA/2006/67062

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