Estimates for the Jung constant in Banach lattices

DOI10.1007/BF02773217zbMath0977.46004OpenAlexW2019942865MaRDI QIDQ1976612

Evgeny M. Semenov, Carlo Franchetti, Jürgen Appell

Publication date: 19 September 2000

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

Full work available at URL: https://doi.org/10.1007/bf02773217

zbMATH Keywords

Banach latticesrearrangement invariant spacesLorentz spacesJung constantequivalent renormings

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Geometry and structure of normed linear spaces (46B20) Banach lattices (46B42)

Related Items

On the Hausdorff measure of noncompactness for the parameterized Prokhorov metric ⋮ Rough Convergence in Infinite Dimensional Normed Spaces ⋮ Chebyshev centres, Jung constants, and their applications

Cites Work

• On Jung's constant and related constants in normed linear spaces
• Inequalities and sphere-packing in \(\ell _ p\)
• Jung constants of Orlicz function spaces
• Some applications of the complex interpolation method to Banach lattices
• On Banach lattices and spaces having local unconditional structure, with applications to Lorentz function spaces
• A characterization of \(\mathcal P_1\) spaces
• Reflexive Orlicz spaces have uniformly normal structure
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