DOI: 10.68381/jca30017 ISSN: 0944-6532

More on Connexions Between Subdifferential and Weak Compactness of Sublevels

Pedro Pérez-Aros, Lionel Thibault

We show how our previous paper "Weak compactness of sublevel sets in complete locally convex spaces" [J. Convex Analysis 26/3 (2019) 739–751] allows to derive with quite direct arguments a large number of recent results established in Banach spaces for connexions between subdifferential and weak compactness of sublevel sets. In fact, the arguments extend the results to locally convex spaces.