Geodesic
Subdifferentials Whose Graphs Are Not Norm × Weak* Closed
Canadian mathematical bulletin, Tome 46 (2003) no. 4, pp. 538-545

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-2003-051-5
Mots-clés : 46N10, 47H05 
Borwein, Jonathan; Fitzpatrick, Simon; Girgensohn, Roland. Subdifferentials Whose Graphs Are Not Norm × Weak* Closed. Canadian mathematical bulletin, Tome 46 (2003) no. 4, pp. 538-545. doi: 10.4153/CMB-2003-051-5
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2003-051-5/}
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