The closedness property and the pseudo-A-properness of accretive operators
type: Item
instance of: scholarly article
title: The closedness property and the pseudo-A-properness of accretive operators
zbMATH Open document ID: 0659.47047
DOI: 10.1016/0022-247X(88)90083-2
author: Peijun Zhang
author: Wataru Takahashi
published in: Journal of Mathematical Analysis and Applications
publication date: 1988-01-01T00:00:00Z
review text: \textit{J. R. L. Webb} [J. Math. Anal. Appl. 85, 146-152 (1982; Zbl 0477.47035)] proved a closedness property of an m-accretive operator T: D(T)\(\subset E\to E\) when E is a separable, uniformly convex Banach space with uniformly convex dual \(E^*\) to the effect that for every bounded sequence \(\{x_ n\}\subset D(T)\) with \(Tx_ n\to f\) there exists \(v\in D(T)\) such that \(Tv=f\). The paper under review gives a generalization of this result to a general multi-valued m-accretive operator, removing the hypotheses of separability and uniform convexity of the space E. It also argues about pseudo-A-properness.
Mathematics Subject Classification ID: 47H06
Mathematics Subject Classification ID: 47B44
zbMATH DE Number: 4078092
zbMATH Keywords: uniformly convex Banach space with uniformly convex dual
zbMATH Keywords: multi-valued m- accretive operator
zbMATH Keywords: pseudo-A-properness
reviewed by: Takashi Ichinose
MaRDI profile type: Publication
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full work available at URL: 0022-247x(88)90083-2
OpenAlex ID: W1992701264
description: scientific article; zbMATH DE number 4078092