Geodesic
On weak bases in functional spaces
Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 1, pp. 21-30 
V. P. Kondakov. On weak bases in functional spaces. Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 1, pp. 21-30. http://geodesic.mathdoc.fr/item/VMJ_2011_13_1_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

For a strictly webbed Montel space $E$ with complete separable $E'_\beta$ (strong dual of $E$), we show that a weak bases in $E$ is Schauder basis with equicontinuons coefficientive functionals. This result is applied to bases in spaces of holomorphic functions. In particular, from it the absolutenes of all bases in some classes of nonmetrizable nuclear functional spaces follows.

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