On strongly norm attaining Lipschitz maps

Geometry Luncheon Seminar

Meeting Details

For more information about this meeting, contact Kristin Berrigan, Dmitri Burago.

Speaker: Luis Carlos Garcia Lirola, Kent University

Abstract: We study the set SNA(M, Y) of those Lipschitz maps from a complete metric space M to a Banach space Y which strongly attain their Lipschitz norm (i.e. the supremum defining the Lipschitz norm is a maximum). We provide conditions on M ensuring that SNA(M, Y) is, or it is not, dense in the space of Lipschitz maps. To this end, we use the geometric properties of the ball of the Lipschitz-free space over M. This is part of a joint work with R. Chiclana, M. Martín, and A. Rueda Zoca.

Room Reservation Information

Room Number: 114 McAllister

Date: 11/06/2019

Time: 12:00pm - 1:30pm