Von Neumann-Jordan constant for Lebesgue-Bochner spaces

DOI10.1155/S1025583498000058zbMath0912.46014OpenAlexW2099509234MaRDI QIDQ1381896

Mikio Kato, Yasuji Takahashi

Publication date: 26 May 1999

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/119744

zbMATH Keywords

interpolationLebesgue-Bochner spacesuniform non-squarenessClarkson's inequality\(p\)-Schatten class\(\ell_p\)-sumNeumann-Jordan constantNJ-constant

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20) Banach sequence spaces (46B45)

Related Items (13)

Roundness properties of Banach spaces ⋮ 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 ⋮ The von Neumann-Jordan constant for a class of Day-James spaces ⋮ On a new geometric constant related to the von Neumann--Jordan constant ⋮ Hölder’s means and fixed points for multivalued nonexpansive mappings ⋮ Von Neumann--Jordan constants of absolute normalized norms on \({\mathbb C}^n\) ⋮ Von Neumann-Jordan constant of absolute normalized norms on \(\mathbb{C}^2\) ⋮ On a new geometric constant related to the modulus of smoothness of a Banach space ⋮ Generalised Jordan-von Neumann constants and uniform normal structure ⋮ A note on Jordan-von~Neumann constant and James constant ⋮ Absolute norms on \(\mathbb{C}^n\) ⋮ ON VON NEUMANN–JORDAN CONSTANTS

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