A characterization of Radon planes using generalized Day–James spaces

Naoto Komuro, Kichi Suke Saito, Ryotaro Tanaka

Research output: Contribution to journalArticle

Abstract

Radon planes are two-dimensional real normed spaces in which Birkhoff(-James) orthogonality is symmetic. It is shown that every Radon plane is isometrically isomorphic to a special Day–James space generated by a pair of an absolute norm and its dual norm.

Original languageEnglish
Pages (from-to)62-74
Number of pages13
JournalAnnals of Functional Analysis
Volume11
Issue number1
DOIs
Publication statusPublished - 1 Jan 2020

Keywords

  • (generalized) Day–James space
  • Absolute norm
  • Radon plane

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