On isometric embeddings of separable spaces C(L) in arbitrary spaces C(K)

Speaker(s)

Damian Sobota

Affiliation

Universität Wien, Kurt Gödel Research Center for Mathematical Logic

Language of the talk

English

Date

Nov. 6, 2024, 4:15 p.m.

Room

room 5050

Title in Polish

On isometric embeddings of separable spaces C(L) in arbitrary spaces C(K)

Seminar

Topology and Set Theory Seminar

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Supplementing and expanding classical results, for compact spaces K and L, L metric, and their Banach spaces C(L) and C(K) of continuous real-valued functions, we provide several characterizations of the existence of isometric embeddings of C(L) into C(K), in particular, in terms of Cantor-Bendixson derivatives of K and L.
This is a joint work with J. Rondoš.
A preprint of a paper is available here: https://arxiv.org/abs/2408.08016

 

 

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