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

Prelegent(ci)

Damian Sobota

Afiliacja

Universität Wien, Kurt Gödel Research Center for Mathematical Logic

Język referatu

angielski

Termin

6 listopada 2024 16:15

Pokój

p. 5050

Tytuł w języku polskim

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

Seminarium

Seminarium „Topologia i teoria mnogości”

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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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