A compact set without Markov's property but with an extension operator for C∞-functions

Date

1996

Authors

Goncharov, A.

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Abstract

We give an example of a compact set K ⊂ [0,1] such that the space ε(K) of Whitney functions is isomorphic to the space s of rapidly decreasing sequences, and hence there exists a linear continuous extension operator L : ε(K) → C∞[0,1]. At the same time, Markov's inequality is not satisfied for certain polynomials on K.

Source Title

Studia Mathematica

Publisher

Polish Academy of Sciences, Institute of Mathematics

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Citation

Published Version (Please cite this version)

Language

English