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Subdifferentials whose Graphs are not Norm x Weak* Closed

Borwein, Jonathan M. and Fitzpatrick, Simon and Girgensohn, Roland (2003) Subdifferentials whose Graphs are not Norm x Weak* Closed. Canadian Math. Bulletin, 46 . pp. 538-545.

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      Abstract

      In this note we give examples of convex functions whose subdifferentials have unpleasant properties. Particularly, we exhibit a \pcf on 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.

      Item Type: Article
      Additional Information: pubdom FALSE
      Subjects: 46-xx Functional analysis > 46Cxx Inner product spaces and their generalizations, Hilbert spaces
      Faculty: UNSPECIFIED
      Depositing User: Users 1 not found.
      Date Deposited: 24 Nov 2003
      Last Modified: 12 Jan 2015 15:56
      URI: https://docserver.carma.newcastle.edu.au/id/eprint/149

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