Speaker：Matias Raja (University of Murcia)

Time：2026-3-19 10:00

Location：Conference Room C503 at Administration Building at Haiyun Campus

Abstract:

The isometric universality of the spaces C(K) for K a non scattered Hausdorff compact does not take into account the “quality” of the representation. Indeed, the existence of an isometric copy of a separable Banach space X into C(K) made of regular enough functions, say Lipschitz with respect to a lower semicontinuous metric defined on K, imposes severe restrictions to both X and K. In this talk, we present a systematic treatment of the representation of Banach spaces into C(K) by Lipschitz functions improving previous results of the author.