A Comparison Between James and von Neumann–Jordan Constants

A Comparison Between James and von Neumann–Jordan Constants

In this paper, we compare James and von Neumann–Jordan constants of normed spaces under certain conditions. It is shown that if a normed space with James constant 2 is three- or more dimensional, or is a π / 2 -rotation-invariant two-dimensional space, then its von Neumann–Jordan constant is less th...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Mediterranean journal of mathematics 2017-08, Vol.14 (4), p.1-13, Article 168
Hauptverfasser: Komuro, Naoto, Mitani, Ken-Ichi, Saito, Kichi-Suke, Tanaka, Ryotaro, Tomizawa, Yukino
Format: Artikel
Sprache:eng
Schlagworte:
Economic models
Expected utility
Mathematics
Mathematics and Statistics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we compare James and von Neumann–Jordan constants of normed spaces under certain conditions. It is shown that if a normed space with James constant 2 is three- or more dimensional, or is a π / 2 -rotation-invariant two-dimensional space, then its von Neumann–Jordan constant is less than or equal to 4 - 2 2 .
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-017-0968-9