Nonexistence of linear operators extending Lipschitz (pseudo)metrics

• Autores: Dusan Repovs, Michael Zarichnyi
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 81, Fasc. 1-2, 2012, págs. 31-40
• Idioma: inglés
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• Resumen

  • We present an example of a zero-dimensional compact metric space X and its closed subspace A such that there is no continuous linear extension operator for the Lipschitz pseudometrics on A to the Lipschitz pseudometrics on X. The construc- tion is based on results of A. Brudnyi and Yu. Brudnyi concerning linear extension operators for Lipschitz functions.