On bases in spaces of continuous \(n\)-homogeneous polynomials in nuclear Kothe spaces

Kondakov V. P.
Vladikavkaz Mathematical Journal 2012. Vol. 14. Issue 2.

Abstract:
A basis in the space of continuous \(n\)-homogeneous polynomials mappings a nuclear Kothe - Frechet space into itself is constructed. The space of polynomials is considered with the compact open topology. Some related problems are also discussed.

Keywords: holomorphie mapping, \(n\)-homogeneous polynomial, basis

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