English

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

Functional Analysis 2020-04-14 v1

Abstract

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

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Cite

@article{arxiv.2004.05864,
  title  = {Algebraic reflexivity of diameter-preserving linear bijections between $C(X)$-spaces},
  author = {A. Jiménez-Vargas and Fereshteh Sady},
  journal= {arXiv preprint arXiv:2004.05864},
  year   = {2020}
}

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13 pages