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Dear authors! Submission of all materials is carried out only electronically through Online Submission System in personal account. DOI: 10.23671/VNC.2011.1.11347 On weak bases in functional spaces
Kondakov V. P.
Vladikavkaz Mathematical Journal 2011. Vol. 13. Issue 1.
Abstract:
For a strictly webbed Montel space \(E\) with complete separable \(E_\beta^\prime\) (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.
Keywords: weak bases, Schauder bases, Montel spaces, spaces of infinite-dimensional holomorphy.
Language: Russian
Download the full text
 For citation: Kondakov V. P. On weak bases in functional spaces. Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.],
2011, vol. 13, no. 1, pp. 21-30.
DOI 10.23671/VNC.2011.1.11347 ← Contents of issue |
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