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On duality and spectral properties of (a, k)-regularized resolvents

Published online by Cambridge University Press:  26 May 2009

Carlos Lizama  and
Humberto Prado
Carlos Lizama
Affiliation:
Departamento de Matemática, Universidad de Santiago de Chile, Casilla 307, Correo-2, Santiago, Chile (clizama@usach.cl; hprado@usach.cl)
Humberto Prado
Affiliation:
Departamento de Matemática, Universidad de Santiago de Chile, Casilla 307, Correo-2, Santiago, Chile (clizama@usach.cl; hprado@usach.cl)
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Abstract

We construct a duality theory for (a, k)-regularized resolvents, extending some of the known theorems for dual semigroups. We present several classes of spaces, which in the semigroup case correspond to the Favard class and the sun-dual space. By duality arguments spectral inclusion theorems for regularized resolvents are also obtained.

Information

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 3 , June 2009 , pp. 505 - 517
Copyright
Copyright © Royal Society of Edinburgh 2009

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