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Vladikavkazskii Matematicheskii Zhurnal, 2016, Volume 18, Number 1, Pages 9–20 (Mi vmj567)  
This article is cited in 1 scientific paper (total in 1 paper)

On the existence of a basis in a complemented subspace of a nuclear Köthe space of type $d_2$

A. K. Dronov

Rostov State Economical University, Rostov-on-Don, Russia
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Abstract: The existence of a basis in a complemented subspace of a nuclear Köthe space of the class $d_2$ is proved. It is also shown that in each such subspace there is a basis quasiequivalent to the part of the basis of orts.
Key words: Pelczynski hypothesis, Köthe space, basis, complemented subspace, cone, interpolation.
Received: 23.10.2014
Document Type: Article
UDC: 519.652
Language: Russian
Citation: A. K. Dronov, “On the existence of a basis in a complemented subspace of a nuclear Köthe space of type $d_2$”, Vladikavkaz. Mat. Zh., 18:1 (2016), 9–20
Citation in format AMSBIB
\Bibitem{Dro16}
\by A.~K.~Dronov
\paper On the existence of a~basis in a~complemented subspace of a~nuclear K\"othe space of type~$d_2$
\jour Vladikavkaz. Mat. Zh.
\yr 2016
\vol 18
\issue 1
\pages 9--20
\mathnet{http://mi.mathnet.ru/vmj567}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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