Some results on the sum of linear operator with nondense domains
type: Item
instance of: scholarly article
title: Some results on the sum of linear operator with nondense domains
zbMATH Open document ID: 0712.47002
DOI: 10.1007/BF01790344
author: Rabah Labbas
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1989-01-01T00:00:00Z
review text: Suppose that A and B are closed, not necessarily densely defined, linear operators on a complex Banach space. The author shows under certain technical assumptions that the closure of \(A+B\) has an extension which has a nonempty resolvent and he characterizes certain interpolation spaces containing the domain of this extension.
Mathematics Subject Classification ID: 47A05
Mathematics Subject Classification ID: 47A20
zbMATH DE Number: 4171733
zbMATH Keywords: resolvent set
zbMATH Keywords: extensions
zbMATH Keywords: closed, not necessarily densely defined, linear operators on a complex Banach space
zbMATH Keywords: interpolation spaces
reviewed by: Charles W. Groetsch
MaRDI profile type: Publication
cites work: Sommes d'opérateurs linéaires et équations différentielles opérationnelles
cites work: Q5604080
cites work: Commutativite de deux foncteurs d'interpolation et applications
cites work: Q5179942
cites work: Generation of Analytic Semigroups by Strongly Elliptic Operators Under General Boundary Conditions
description: scientific article; zbMATH DE number 4171733