A note on asymptotically isometric copies of $l^1$ and $c_0$

DOI10.1090/S0002-9939-00-05786-5zbMath0983.46007arXivmath/0003151MaRDI QIDQ2701630

Hermann Pfitzner

Publication date: 19 February 2001

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

Full work available at URL: https://arxiv.org/abs/math/0003151

zbMATH Keywords

fixed point propertycontractive mappingsM-idealsasymptotically isometric \(\ell^1\)-copiesJames' distortionL-embedded spacesL-summandsM-embedded spaces

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Isometric theory of Banach spaces (46B04)

Related Items

The \(\tau\)-fixed point property for left reversible semigroups ⋮ Some isometric properties of subspaces of function spaces ⋮ Almost square Banach spaces ⋮ Renormings and fixed point property in non-commutative \(L_1\)-spaces. II: Affine mappings ⋮ Diameter two properties, convexity and smoothness ⋮ Compactness and the fixed point property in \(\ell_{1}\) ⋮ Renormings and the fixed point property in non-commutative \(L_{1}\)-spaces ⋮ Some fixed point results on \(L\)-embedded Banach spaces ⋮ The Kadec–Pełczyński–Rosenthal subsequence splitting lemma for JBW^*-triple preduals ⋮ \(L\)-embedded Banach spaces and measure topology

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