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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2012, Number 2(18), Pages 29–32 (Mi vtgu250)  
MATHEMATICS

On a linear homeomorphism of spaces of continuous functions on subsets of the Sorgenfrey line

N. N. Trofimenko, T. E. Khmyleva

Tomsk State University
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Abstract: In this paper, it is proved that the spaces $C_p(I)$ and $C_p(\mathcal E)$ are linearly homeomorphic. Here, the interval $I=[0,1]$ and a Cantor set $\mathcal E$ are equipped with the Sorgenfrey topology.
Keywords: Sorgenfrey topology, spaces of continuous functions, linear homeomorphism, complemented subspace.
Received: 26.04.2012
Document Type: Article
UDC: 515.12
Language: Russian
Citation: N. N. Trofimenko, T. E. Khmyleva, “On a linear homeomorphism of spaces of continuous functions on subsets of the Sorgenfrey line”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2012, no. 2(18), 29–32
Citation in format AMSBIB
\Bibitem{TroKhm12}
\by N.~N.~Trofimenko, T.~E.~Khmyleva
\paper On a~linear homeomorphism of spaces of continuous functions on subsets of the Sorgenfrey line
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2012
\issue 2(18)
\pages 29--32
\mathnet{http://mi.mathnet.ru/vtgu250}
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