Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-11T02:16:05.841Z Has data issue: false hasContentIssue false
  • English
  • Français

Domains of accretive operators in Banach spaces

Part of: Nonlinear operators and their properties Nonlinear functional analysis

Published online by Cambridge University Press:  07 January 2016

Jesús Garcia-Falset ,
Omar Muñiz-Pérez  and
Simeon Reich
Jesús Garcia-Falset
Affiliation:
Departament d'Anàlisi Matemàtica, Universitat de València, Dr Moliner 50, 46100 Burjassot, València, Spain (garciaf@uv.es; , omar.muniz@uv.es)
Omar Muñiz-Pérez
Affiliation:
Departament d'Anàlisi Matemàtica, Universitat de València, Dr Moliner 50, 46100 Burjassot, València, Spain (garciaf@uv.es; , omar.muniz@uv.es)
Simeon Reich
Affiliation:
Department of Mathematics, Technion – Israel Institute of Technology, 32000 Haifa, Israel (sreich@tx.technion.ac.il)
Get access Rights & Permissions [Opens in a new window]

Extract

Let D(A) be the domain of an m-accretive operator A on a Banach space E. We provide sufficient conditions for the closure of D(A) to be convex and for D(A) to coincide with E itself. Several related results and pertinent examples are also included.

Keywords

accretive operatorBanach spaceduality mappingfixed pointKadec–Klee propertyresolvent

MSC classification

Secondary: 46T99: None of the above, but in this section 47H04: Set-valued operators 47H06: Accretive operators, dissipative operators, etc. 47H10: Fixed-point theorems
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 146 , Issue 2 , April 2016 , pp. 325 - 336
Copyright
Copyright © Royal Society of Edinburgh 2016 

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.)