Lipschitz structure of quasi-Banach spaces

DOI10.1007/S11856-009-0031-ZzbMath1188.46013OpenAlexW2085349957MaRDI QIDQ839921

Fernando Albiac, Nigel J. Kalton

Publication date: 3 September 2009

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

Full work available at URL: https://doi.org/10.1007/s11856-009-0031-z

zbMATH Keywords

quasi-Banach spaceLipschitz mapArens-Eells space\(p\)-normed spaceLipschitz isomorphismLipschitz lifting propertytype on a metric space

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Nonlinear classification of Banach spaces; nonlinear quotients (46B80)

Related Items (19)

Lipschitz-free spaces and Schur properties ⋮ Extremal structure and duality of Lipschitz free spaces ⋮ Structure of the Lipschitz free \(p\)-spaces \(\mathcal{F}_p (\mathbb{Z}^d)\) and \(\mathcal{F}_p (\mathbb{R}^d)\) for \(0<p\leq 1\) ⋮ Obituary: Nigel John Kalton, 1946-2010 ⋮ Optimal extensions of Lipschitz maps on metric spaces of measurable functions ⋮ Compact and weakly compact Lipschitz operators ⋮ Lipschitz free \(p\)-spaces for \(0 < p < 1\) ⋮ The non-linear geometry of Banach spaces after Nigel Kalton ⋮ Nonlinear structure of some classical quasi-Banach spaces and \(F\)-spaces ⋮ A characterisation of the Daugavet property in spaces of Lipschitz functions ⋮ Embeddability of \(\ell_p\) and bases in Lipschitz free \(p\)-spaces for \(0 < p \leq 1\) ⋮ Some more twisted Hilbert spaces ⋮ On the dynamics of Lipschitz operators ⋮ Lipschitz free spaces isomorphic to their infinite sums and geometric applications ⋮ Topological groups of Lipschitz functions and Graev metrics ⋮ Asymmetric free spaces and canonical asymmetrizations ⋮ Generalized quasi-Banach sequence spaces and measures of noncompactness ⋮ On the isomorphic classification of \(C(K, X)\) spaces ⋮ Functions determining locally solid topological Riesz spaces continuously embedded in \(L^0\)

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• Some non-uniformly homeomorphic spaces
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• Spaces of Lipschitz and Hölder functions and their applications
• Nonlinear structure of some classical quasi-Banach spaces and \(F\)-spaces
• Convexity conditions for non-locally convex lattices
• Uniform equivalence between Banach spaces
• Banach space techniques underpinning a theory for nearly additive mappings
• Lipschitz-free Banach spaces
• A generalization of the Mazur-Ulam theorem
• Locally bounded linear topological spaces

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