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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 456, Pages 107–113 (Mi znsl6424)  

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

V. M. Kaplitskiia, A. K. Dronovb

a Southern Federal University, Vladikavkaz, Russia
b Rostov State Economical University, Rostov-on-Don, Russia
References:
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.
Received: 24.04.2017
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 234, Issue 3, Pages 338–342
DOI: https://doi.org/10.1007/s10958-018-4009-4
Document Type: Article
UDC: 517.98
Language: Russian
Citation: V. M. Kaplitskii, A. K. Dronov, “To the theory of operators that are bounded on cones in weighted spaces of numerical sequences, II”, Investigations on linear operators and function theory. Part 45, Zap. Nauchn. Sem. POMI, 456, POMI, St. Petersburg, 2017, 107–113; J. Math. Sci. (N. Y.), 234:3 (2018), 338–342
Citation in format AMSBIB
\Bibitem{KapDro17}
\by V.~M.~Kaplitskii, A.~K.~Dronov
\paper To the theory of operators that are bounded on cones in weighted spaces of numerical sequences,~II
\inbook Investigations on linear operators and function theory. Part~45
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 456
\pages 107--113
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6424}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 234
\issue 3
\pages 338--342
\crossref{https://doi.org/10.1007/s10958-018-4009-4}
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