Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-03T04:50:30.482Z Has data issue: false hasContentIssue false

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

Published online by Cambridge University Press:  26 May 2009

Carlos Lizama
Affiliation:
Departamento de Matemática, Universidad de Santiago de Chile, Casilla 307, Correo-2, Santiago, Chile ([email protected]; [email protected])
Humberto Prado
Affiliation:
Departamento de Matemática, Universidad de Santiago de Chile, Casilla 307, Correo-2, Santiago, Chile ([email protected]; [email protected])

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.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)