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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

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.

UDC: 519.652

Received: 23.10.2014