On \(\ell_1\)-preduals distant by 1

DOI10.17951/a.2018.72.2.41zbMath1415.46011OpenAlexW2923960239MaRDI QIDQ4611857

Łukasz Piasecki

Publication date: 22 January 2019

Published in: Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17951/a.2018.72.2.41

zbMATH Keywords

Banach-Mazur distancenonexpansive mappings$\ell_1$-predualsalmost stable weak$^*$ fixed point propertyhyperplanes in $c$nearly (almost) isometric Banach spacesstable weak$^*$ fixed point propertyweak$^*$ fixed point property

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Banach sequence spaces (46B45) Isometric theory of Banach spaces (46B04)

Related Items (3)

Some topological and metric properties of the space of $\ell _1$-predual hyperplanes in $c$ ⋮ On isomorphic embeddings of \(c\) into \(L_1\)-preduals and some applications ⋮ Weak* fixed point property and the space of affine functions

Cites Work

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• On Banach space properties that are not invariant under the Banach-Mazur distance 1
• Stability constants of the weak\(^*\) fixed point property for the space \(\ell_{1}\)
• Separable Banach spaces which admit \(I^ \infty_ n\) approximations
• On Banach spaces whose duals are \(L_ 1\) spaces
• Hyperplanes in the Space of Convergent Sequences and Preduals of ℓ₁
• Separable Lindenstrauss spaces whose duals lack the weak$^*$ fixed point property for nonexpansive mappings
• Weak$^*$ fixed point property in $\ell _1$ and polyhedrality in Lindenstrauss spaces
• Fixed point property for general topologies in some Banach spaces
• On mappings of sequence spaces

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