Dual of two dimensional Lorentz sequence spaces

DOI10.1016/J.NA.2009.04.007zbMath1184.46018OpenAlexW2081793229MaRDI QIDQ732555

Kichi-Suke Saito, Ken-Ichi Mitani

Publication date: 9 October 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.04.007

zbMATH Keywords

James constantabsolute normalized normLorentz sequence spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Banach sequence spaces (46B45)

Related Items (11)

The Beckenbach-Dresher inequality in the \(\Psi\)-direct sums of spaces and related results ⋮ Di-orthographs of Banach spaces that are not invariant of nonlinear Birkhoff-James orthogonality preservers ⋮ Nonlinear equivalence of Banach spaces based on Birkhoff-James orthogonality ⋮ Extremal structure of absolute normalized norms on \(\mathbb R^2\) and the James constant ⋮ Extremal structure of the set of absolute norms on \(\mathbb R^2\) and the von Neumann-Jordan constant ⋮ A characterization of Radon planes using generalized Day-James spaces ⋮ When does the equality \(J(X^*)=J(X)\) hold for a two-dimensional Banach space \(X\)? ⋮ Tingley's problem on symmetric absolute normalized norms on \(\mathbb R^2\) ⋮ The James constant in Radon planes ⋮ New geometric properties of Banach spaces ⋮ The Dunkl-Williams constant of symmetric octagonal norms on \(\mathbb{R}^2\). II.

Cites Work

• Von Neumann-Jordan constant of absolute normalized norms on \(\mathbb{C}^2\)
• On the calculation of the James constant of Lorentz sequence spaces
• On James and Jordan–von Neumann constants and the normal structure coefficient of Banach spaces
• Smoothness of ψ-direct sums of Banach spaces
• On James and Jordan-von Neumann constants of Lorentz sequence spaces
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