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On approximation and representation of K-regularized resolvent families

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Abstract

We study the problem of approximation and representation for a family of strongly continuous operators defined in a Banach space. It allows us to extend, and in some cases to improve results from the theory ofC 0-semigroups of operators to, among others, the theories of cosine families, n-times integrated semigroups, resolvent families and k-generalized solutions by means of an unified method.

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Authors and Affiliations

  1. Departamento de Matemática y C.C., Universidad de Santiago de Chile, Casilla 307-Correo 2, Santiago, Chile

    Carlos Lizama

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  1. Carlos Lizama
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Additional information

The author was supported by FONDECYT grants 1980812; 1970722 and DICYT (USACH).

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Lizama, C. On approximation and representation of K-regularized resolvent families. Integr equ oper theory 41, 223–229 (2001). https://doi.org/10.1007/BF01295306

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  • DOI: https://doi.org/10.1007/BF01295306

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