Notes on von Neumann-Jordan and James constants for absolute norms on \(\mathbb R^2\)

DOI10.1007/s00009-013-0370-1zbMath1308.46023OpenAlexW2059227167MaRDI QIDQ2454122

Toshiharu Ikeda, Mikio Kato

Publication date: 12 June 2014

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-013-0370-1

zbMATH Keywords

convex functionJames constantabsolute normvon Neumann-Jordan constant

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Convexity of real functions in one variable, generalizations (26A51) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (5)

The generalized Gao's constant of absolute normalized norms in ℝ² ⋮ On the Ptolemy constant of some concrete Banach spaces ⋮ Absolute normalized norms in \(\mathbb R^2\) and Heinz means constant ⋮ On the generalized von Neumann-Jordan type constant for some concrete Banach spaces ⋮ On the upper bound of some geometric constants of absolute normalized norms on \(\mathbb R^2\)

Cites Work

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• A simple inequality for the von~Neumann--Jordan and James constants of a Banach space
• An inequality between Jordan-von Neumann constant and James constant
• von Neumann-Jordan constant and uniformly non-square Banach spaces
• Von Neumann-Jordan constant of absolute normalized norms on \(\mathbb{C}^2\)
• On James and Jordan–von Neumann constants and the normal structure coefficient of Banach spaces
• On the von Neumann-Jordan constant for Banach spaces
• Wheeling around von Neumann–Jordan constant in Banach spaces
• On the James and von Neumann-Jordan constants in Banach spaces
• ON VON NEUMANN–JORDAN CONSTANTS

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