Representation in C(K) by Lipschitz functions
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：Matias Raja (University of Murcia)
： 2026-03-19 10:00
：Conference Room C503 at Administration Building at Haiyun Campus
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.
