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Vladikavkazskii Matematicheskii Zhurnal, 2012, Volume 14, Number 2, Pages 39–44
(Mi vmj416)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/vmj416 https://www.mathnet.ru/eng/vmj/v14/i2/p39
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Abstract page: | 225 | Full-text PDF : | 62 | References: | 27 | First page: | 1 |
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