On some geometric constants in Banach spaces

DOI10.1007/s00009-019-1377-zzbMath1425.46009OpenAlexW2952998718MaRDI QIDQ2424149

Yanyan Li

Publication date: 24 June 2019

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

Full work available at URL: https://doi.org/10.1007/s00009-019-1377-z

zbMATH Keywords

normal structuregeometric constantsinner product spacesuniformly non-square spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Characterizations of Hilbert spaces (46C15)

Related Items (2)

The relations between the von Neumann-Jordan type constant and some geometric properties of Banach spaces ⋮ A family of geometric constants on Morrey spaces

Cites Work

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• On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces
• On a new geometric constant related to the modulus of smoothness of a Banach space
• On James and von Neumann-Jordan constants and sufficient conditions for the fixed point property
• The Ptolemy and Zbăganu constants of normed spaces
• An extension of a simply inequality between von Neumann-Jordan and James constants in Banach spaces
• Triangles inscribed in a semicircle, in Minkowski planes, and in normed spaces
• von Neumann-Jordan constant and uniformly non-square Banach spaces
• Generalized von Neumann-Jordan constant and its relationship to the fixed point property
• Banach space properties sufficient for normal structure
• Uniformly non-square Banach spaces
• Geometric mean and triangles inscribed in a semicircle in Banach spaces
• A Pythagorean approach in Banach spaces
• Uniformly nonsquare Banach spaces have the fixed point property for nonexpansive mappings
• The von Neumann-Jordan constant for the Lebesgue spaces
• On James and Jordan–von Neumann constants and the normal structure coefficient of Banach spaces
• Triangles, parameters, modulus of smoothness in normed spaces
• On the von Neumann-Jordan constant for Banach spaces
• Wheeling around von Neumann–Jordan constant in Banach spaces
• The von Neumann-Jordan constant, weak orthogonality and normal structure in Banach spaces

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