Another approach to characterizations of generalized triangle inequalities in normed spaces

DOI10.2478/s11533-014-0432-zzbMath1311.46014OpenAlexW2038099212MaRDI QIDQ403182

Tamotsu Izumida, Kichi-Suke Saito, Ken-Ichi Mitani

Publication date: 29 August 2014

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-014-0432-z

zbMATH Keywords

absolute normgeneralized triangle inequality\(\psi\)-direct sumgeneralized Hölder inequality

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25)

Related Items (4)

On some generalized triangle inequalities and \(\ell_{\psi}\)-spaces ⋮ Characterization of \(p\)-Banach spaces based on a reverse triangle inequality ⋮ Generalized triangle inequality of the second type in quasi normed spaces ⋮ Unnamed Item

Cites Work

• Unnamed Item
• The Beckenbach-Dresher inequality in the \(\Psi\)-direct sums of spaces and related results
• Characterization of a generalized triangle inequality in normed spaces
• On sharp triangle inequalities in Banach spaces. II.
• Absolute norms on \(\mathbb{C}^n\)
• Von Neumann-Jordan constant of absolute normalized norms on \(\mathbb{C}^2\)
• On sharp triangle inequalities in Banach spaces
• Some remarks on the triangle inequality for norms
• Refined generalizations of the triangle inequality on Banach spaces
• Sharp triangle inequality and its reverse in Banach spaces
• On Ψ direct sums of Banach spaces and convexity
• Smoothness of ψ-direct sums of Banach spaces

This page was built for publication: Another approach to characterizations of generalized triangle inequalities in normed spaces