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
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.
Pelczynski hypothesis, Köthe space, basis, complemented subspace, cone, interpolation.
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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
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\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.
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V. M. Kaplitskii, A. K. Dronov, “To the theory of operators that are bounded on cones in weighted spaces of numerical sequences, II”, J. Math. Sci. (N. Y.), 234:3 (2018), 338–342
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