A characterization of Radon planes using generalized Day–James spaces

A characterization of Radon planes using generalized Day–James spaces

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.

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Veröffentlicht in:Annals of functional analysis 2020-01, Vol.11 (1), p.62-74
Hauptverfasser: Komuro, Naoto, Saito, Kichi-Suke, Tanaka, Ryotaro
Format: Artikel
Sprache:eng
Schlagworte:
Functional Analysis
Mathematics
Mathematics and Statistics
Original Paper
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Beschreibung
Zusammenfassung: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.
ISSN:2639-7390
2008-8752
DOI:10.1007/s43034-019-00018-z