On some generalized triangle inequalities and \(\ell_{\psi}\)-spaces

zbMath1352.46023MaRDI QIDQ317378

Tamotsu Izumida

Publication date: 30 September 2016

Published in: Nihonkai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nihmj/1468334488

zbMATH Keywords

absolute normgeneralized triangle inequality\(\psi\)-direct sumsgeneralized \(\ell_p\)-spaces

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99)

Cites Work

• The Beckenbach-Dresher inequality in the \(\Psi\)-direct sums of spaces and related results
• Another approach to characterizations of generalized triangle inequalities in normed spaces
• On \(\ell_{\psi}\) spaces and infinite \(\psi\)-direct sums of Banach space
• Characterization of a generalized triangle inequality in normed spaces
• Absolute norms on \(\mathbb{C}^n\)
• Von Neumann-Jordan constant of absolute normalized norms on \(\mathbb{C}^2\)
• Extension of Euler Lagrange identity by superquadratic power functions
• On Ψ direct sums of Banach spaces and convexity
• Smoothness of ψ-direct sums of Banach spaces

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