V. P. Kondakov, “On bases in spaces of continuous <nobr>$n$</nobr>-homogeneous polynomials in nuclear Köthe spaces”, Vladikavkaz. Mat. Zh., 2012, Volume 14, Number 2,Pages <nobr>39

On bases in spaces of continuous $n$-homogeneous polynomials in nuclear Köthe spaces

V. P. Kondakov^ab

^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.

UDC: 513.881

Received: 05.07.2011