Cesàro function spaces fail the fixed point property

DOI10.1090/S0002-9939-08-09599-3zbMath1168.46014OpenAlexW2012334328MaRDI QIDQ3542047

Serguei V. Astashkin, Lech Maligranda

Publication date: 27 November 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09599-3

zbMATH Keywords

fixed point propertyCesàro function spaceasymptotically isometric copies of \(\ell^1\)

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)

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Cites Work

• Geometry of Cesàro function spaces
• On the James constant and \(B\)-convexity of Cesàro and Cesàro--Orlicz sequence spaces
• Some geometric properties related to fixed point theory in Cesàro spaces
• Banach-Saks property and property \((\beta)\) in Cesàro sequence spaces
• A Fixed Point Free Nonexpansive Map
• Every nonreflexive subspace of $L_1[0,1$ fails the fixed point property]
• Factorizing the classical inequalities
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