On the extension of Hölder maps with values in spaces of continuous functions

DOI10.1007/BF02785360zbMath1277.46008arXivmath/0405565MaRDI QIDQ2382242

Gilles Lancien

Publication date: 28 September 2007

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

Full work available at URL: https://arxiv.org/abs/math/0405565

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Special maps on metric spaces (54E40) Isometric theory of Banach spaces (46B04)

Related Items (3)

Metric fixed point theory on hyperconvex spaces: recent progress ⋮ Extending Lipschitz maps into \(C(K)\)-spaces ⋮ Extension conditions for bounded linear and sublinear operators with values in Lindenstrauss spaces

Cites Work

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• The unit ball of every infinite-dimensional normed linear space contains a (1+ɛ)-separated sequence
• A phase transition phenomenon between the isometric and isomorphic extension problems for Hölder functions betweenL_pspaces
• Über die zusammenziehende und Lipschitzsche Transformationen
• On the extension of Lipschitz, Lipschitz-Hölder continuous, and monotone functions
• On the extension of Lipschitz-Hölder maps on $L^{P}$ spaces

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