Resumen de Nonexistence of linear operators extending Lipschitz (pseudo)metrics

Dusan Repovs, Michael Zarichnyi

• 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.