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

Volume 119 / 1996

Alexander Goncharov Studia Mathematica 119 (1996), 27-35 DOI: 10.4064/sm-119-1-27-35


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


  • Alexander Goncharov

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image