A fixed point theorem in \(L^p\)-spaces

DOI10.5565/PUBLMAT_56212_05zbMath1334.31006MaRDI QIDQ2248222

Marc Bourdon

Publication date: 30 June 2014

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pm/1340127810

zbMATH Keywords

fixed point theoremactions of groups on Banach spaces

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items (7)

Random groups, random graphs and eigenvalues of \(p\)-Laplacians ⋮ Żuk’s criterion for Banach spaces and random groups ⋮ Assouad-Nagata dimension and gap for ordered metric spaces ⋮ Fixed point theorem for reflexive Banach spaces and uniformly convex non positively curved metric spaces. ⋮ Poincaré profiles of groups and spaces ⋮ Banach space actions and \(L^2\)-spectral gap ⋮ Group approximation in Cayley topology and coarse geometry. II: Fibred coarse embeddings

Cites Work

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• Hyperbolic groups admit proper affine isometric actions on \(l^p\)-spaces
• p-adic curvature and the cohomology of discrete subgroups of p-adic groups
• Combinatorial harmonic maps and discrete-group actions on Hadamard spaces
• Some infinite groups generated by involutions have Kazhdan's property (T)
• Poincaré inequalities, embeddings, and wild groups
• Constantes de Sobolev des arbres
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• Sur les immeubles fuchsiens et leur type de quasi-isométrie
• Spaces with measured walls, the Haagerup property and property (T)
• Hyperbolic manifolds and discrete groups
• Generalized harmonic maps and representations of discrete groups

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