Fecha y hora: miércoles 22 de octubre, 12:00hrs.
Lugar: Sala Seminario Felipe Álvarez (5to piso)
Speaker: José Pablo Santander (Universidad de Chile)
Abstract: This work establishes dual and subdifferential characterizations of Γ-convergence for sequences of proper convex lower semicontinuous functions in weakly compactly generated Banach spaces. It is shown that such a sequence Γ-converges in the strong topology to a limit function if and only if the sequence of the Fenchel conjugates Γ-convergesin the w∗-topology to the conjugate of the limit function. It is further proved that both conditions are equivalent to the graphical convergence of the associated subdifferentials with respect to the strong–w∗ product topology. Counterexamples demonstrate that these equivalences break down outside the weakly compactly generated setting. Furthermore, our approach develops a rich family in weakly compactly generated spaces similar to the one recently used to characterize Asplund spaces.
Link de zoom: https://uchile.zoom.us/j/93417604828?pwd=eSHafQqVcAegttXqKH3swXZsMseRrn.1