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

Goncharov, A.2016-02-082016-02-0819960039-3223http://hdl.handle.net/11693/25718We 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.EnglishA compact set without Markov's property but with an extension operator for C∞-functionsArticle10.4064/sm-119-1-27-351730-6337