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

dc.citation.epage	35	en_US
dc.citation.issueNumber	1	en_US
dc.citation.spage	27	en_US
dc.citation.volumeNumber	119	en_US
dc.contributor.author	Goncharov, A.	en_US
dc.date.accessioned	2016-02-08T10:49:30Z
dc.date.available	2016-02-08T10:49:30Z
dc.date.issued	1996	en_US
dc.department	Department of Mathematics	en_US
dc.description.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.	en_US
dc.identifier.doi	10.4064/sm-119-1-27-35	en_US
dc.identifier.eissn	1730-6337
dc.identifier.issn	0039-3223
dc.identifier.uri	http://hdl.handle.net/11693/25718
dc.language.iso	English	en_US
dc.publisher	Polish Academy of Sciences, Institute of Mathematics	en_US
dc.relation.isversionof	https://doi.org/10.4064/sm-119-1-27-35	en_US
dc.source.title	Studia Mathematica	en_US
dc.title	A compact set without Markov's property but with an extension operator for C∞-functions	en_US
dc.type	Article	en_US

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