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Vladikavkazskii Matematicheskii Zhurnal, 2012, Volume 14, Number 2, Pages 39–44 (Mi vmj416)  
On bases in spaces of continuous $n$-homogeneous polynomials in nuclear Köthe spaces

V. P. Kondakovab

a Southern Federal University, Rostov-on-Don, Russia
b South Mathematical Institute of VSC RAS, Vladikavkaz, Russia
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Abstract: A basis in the space of continuous $n$-homogeneous polynomials mappings a nuclear Köthe–Frechet space into itself is constructed. The space of polynomials is considered with the compact open topology. Some related problems are also discussed.
Key words: holomorphie mapping, $n$-homogeneous polynomial, basis.
Received: 05.07.2011
Document Type: Article
UDC: 513.881
Language: Russian
Citation: V. P. Kondakov, “On bases in spaces of continuous $n$-homogeneous polynomials in nuclear Köthe spaces”, Vladikavkaz. Mat. Zh., 14:2 (2012), 39–44
Citation in format AMSBIB
\Bibitem{Kon12}
\by V.~P.~Kondakov
\paper On bases in spaces of continuous $n$-homogeneous polynomials in nuclear K\"othe spaces
\jour Vladikavkaz. Mat. Zh.
\yr 2012
\vol 14
\issue 2
\pages 39--44
\mathnet{http://mi.mathnet.ru/vmj416}
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