Non-linear modular Birkhoff-James orthogonality preservers between spaces of continuous functions

研究成果: Article査読

3 被引用数 (Scopus)

抄録

A new notion of non-linear isomorphisms between Banach modules is introduced based on modular Birkhoff-James orthogonality. It is shown that a (possibly non-linear) bijective modular Birkhoff-James orthogonality preserver in both direction between spaces of continuous functions (vanishing at infinity) induces a homeomorphism between underlying locally compact Hausdorff spaces. Moreover, characterizations of linear and additive modular Birkhoff-James orthogonality preservers between spaces of continuous functions are also given in terms of the induced homeomorphisms and continuous functions having constant absolute values.

本文言語English
論文番号124744
ジャーナルJournal of Mathematical Analysis and Applications
495
2
DOI
出版ステータスPublished - 15 3月 2021

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