arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2004.05864math.FA
收藏

$C(X)$ -空间间保径线性双射的代数自反性

Algebraic reflexivity of diameter-preserving linear bijections between $C(X)$-spaces

A. Jiménez-Vargas, Fereshteh Sady

摘要:

证明了如果$X$和$Y$是第一可数紧T2空间,则从$C(X)$到$C(Y)$的所有保直径线性双射的集合是代数自反的.

英文摘要:

We prove that if $X$ and $Y$ are first countable compact Hausdorff spaces, then the set of all diameter-preserving linear bijections from $C(X)$ to $C(Y)$ is algebraically reflexive.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑