V. M. Kaplitskii, A. K. Dronov, “To the theory of operators that are bounded on cones in weighted spaces of numerical sequences, II”, Zap. Nauchn. Sem. POMI, 2017, Volume 456,Pages <nobr>107

To the theory of operators that are bounded on cones in weighted spaces of numerical sequences, II

V. M. Kaplitskii^a, A. K. Dronov^b

^a Southern Federal University, Vladikavkaz, Russia
^b Rostov State Economical University, Rostov-on-Don, Russia

Abstract: We generalize earlier results on the interpolation property for triples of cones $(Q_0,Q_1,Q)$ ($Q_0,Q_1$, and $Q$ are cones in weighted spaces of numerical sequences) with respect to some triple of weighted spaces of numerical sequences.

Key words and phrases: Banach space, cone, interpolation.

UDC: 517.98

Received: 24.04.2017