A characteristic property of the space s

Autor:	Vogt, Dietmar
Rok vydání:	2013
Předmět:	Mathematics - Functional Analysis Primary 46A45 Secondary 46A63 46E10
Druh dokumentu:	Working Paper
Popis:	It is shown that under certain stability conditions a complemented subspace of the space $s$ of rapidly decreasing sequences is isomorphic to $s$ and this condition characterizes $s$. This result is used to show that for the classical Cantor set $X$ the space $C_\infty(X)$ of restrictions to $X$ of $C^\infty$-functions on $\R$ is isomorphic to $s$, so completing the theory developed in "Restriction spaces of $A^\infty$", to appear in Rev. Mat. Iberoamericana 29.4 (2013) Comment: Added reference
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1304.3820 Zobrazit plný text záznamu View this record from Arxiv