Answers are grounded in this paper and cite their sources.
We consider uniformly continuous surjections between Cₚ(X) and Cₚ(Y) (resp, Cₚ^*(X) and Cₚ^*(Y)) and show that if X has some dimensional-like properties, then so does Y. In particular, we prove that if T:Cₚ(X)→ Cₚ(Y) is a continuous linear surjection, then Y=0 if X=0. This provides a positive answer to a question raised by Kawamura-Leiderman [Problem 3.1]{kl}.
No takes yet. Share an insight, caveat, or question.
Eysen et al. (2024) studied this question.
Synapse has enriched 8 closely related papers on similar clinical questions. Consider them for comparative context: