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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2012, Number 1(17), Pages 16–19 (Mi vtgu235)  
MATHEMATICS

On mutual “orthogonality” of classes of the spaces $C_p(X)$ and $L_p(Y)$

S. P. Gul'ko, V. R. Lazarev, T. E. Khmyleva

Tomsk State University
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Abstract: In this article, it is proved that none of the infinitedimensional spaces $C_p(X)$, $L_p(Y)$, or a normed space $E$ can be embedded as a complementable subspace into another by a linear homeomorphism.
Keywords: space of continuous functions, linear homeomorphic embedding, complementable subspace.
Received: 25.12.2011
Document Type: Article
UDC: 515.12
Language: Russian
Citation: S. P. Gul'ko, V. R. Lazarev, T. E. Khmyleva, “On mutual “orthogonality” of classes of the spaces $C_p(X)$ and $L_p(Y)$”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2012, no. 1(17), 16–19
Citation in format AMSBIB
\Bibitem{GulLazKhm12}
\by S.~P.~Gul'ko, V.~R.~Lazarev, T.~E.~Khmyleva
\paper On mutual ``orthogonality'' of classes of the spaces $C_p(X)$ and~$L_p(Y)$
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2012
\issue 1(17)
\pages 16--19
\mathnet{http://mi.mathnet.ru/vtgu235}
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