Extension of linear operators and Lipschitz maps into \({\mathcal C}(K)\)-spaces

zbMath1134.46004MaRDI QIDQ2461600

Nigel J. Kalton

Publication date: 28 November 2007

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/128749

zbMATH Keywords

Lipschitz mapsextension propertytypes on Banach spacesoperators into \(C(K)\)property~\((M)\)

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03) Dilations, extensions, compressions of linear operators (47A20)

Related Items (11)

On smooth extensions of vector-valued functions defined on closed subsets of Banach spaces ⋮ An extension property of the Bourgain-Pisier construction ⋮ Optimal extensions of Lipschitz maps on metric spaces of measurable functions ⋮ Unnamed Item ⋮ On the \(\text{Ext}^2\)-problem for Hilbert spaces ⋮ Extension of Lipschitz-type operators on Banach function spaces ⋮ Extension conditions for bounded linear and sublinear operators with values in Lindenstrauss spaces ⋮ Banach spaces in various positions ⋮ Extending operators into Lindenstrauss spaces ⋮ Automorphisms of \(\mathcal C(K)\)-spaces and extension of linear operators ⋮ Positions in \(\ell_1\)

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