On the existence of a~basis in a~complemented subspace of a~nuclear K\"othe space of type~$d_2$
Vladikavkazskij matematičeskij žurnal, Tome 18 (2016) no. 1, pp. 9-20
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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.
@article{VMJ_2016_18_1_a1,
author = {A. K. Dronov},
title = {On the existence of a~basis in a~complemented subspace of a~nuclear {K\"othe} space of type~$d_2$},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {9--20},
publisher = {mathdoc},
volume = {18},
number = {1},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMJ_2016_18_1_a1/}
}
TY - JOUR AU - A. K. Dronov TI - On the existence of a~basis in a~complemented subspace of a~nuclear K\"othe space of type~$d_2$ JO - Vladikavkazskij matematičeskij žurnal PY - 2016 SP - 9 EP - 20 VL - 18 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMJ_2016_18_1_a1/ LA - ru ID - VMJ_2016_18_1_a1 ER -
A. K. Dronov. On the existence of a~basis in a~complemented subspace of a~nuclear K\"othe space of type~$d_2$. Vladikavkazskij matematičeskij žurnal, Tome 18 (2016) no. 1, pp. 9-20. http://geodesic.mathdoc.fr/item/VMJ_2016_18_1_a1/