Subdifferentials whose graphs are not norm x weak* closed

Title: Subdifferentials whose graphs are not norm x weak* closed
Creator: Borwein, Jonathan; Fitzpatrick, Simon; Girgensohn, Roland
Relation: Canadian Mathematical Bulletin Vol. 46, Issue 4, p. 538-545
Publisher Link: http://dx.doi.org/10.4153/CMB-2003-051-5
Publisher: University of Toronto Press
Resource Type: journal article
Date: 2003
Description: In this note we give examples of convex functions whose subdifferentials have unpleasant properties. Particularly, we exhibit a proper lower semicontinuous convex function on a separable Hilbert space such that the graph of its subdifferential is not closed in the product of the norm and bounded weak topologies. We also exhibit a set whose sequential normal cone is not norm closed.
Subject: monotone operators; convex functions; subdifferentials; weak topologies
Identifier: http://hdl.handle.net/1959.13/940729
Identifier: uon:13080
Identifier: ISSN:0008-4395
Language: eng
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