We generalize earlier results on the interpolation property for triples of cones (Q0, Q1, Q) (where Q0, Q1, and Q are cones in weighted spaces of numerical sequences) with respect to some triple of weighted spaces of numerical sequences.
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V. M. Kaplitskii and A. K. Dronov, “On the theory of the interpolation of operators bounded on cones in weighted spaces of numerical sequences,” Zap. Nauchn. Semin. POMI, 424, 154–178 (2014).
V. M. Kaplitskii, “Interpolation of nonlinear operators in weighted L p-spaces,” Sib. Mat. Zh., 51, 316–329 (2010).
L. Maligranda, “Interpolation of Lipschitz operators for the pairs of spaces (L p , L ∞) and (l p , c 0), 0 < p < ∞,” Funct. Approx. Comment. Math., 9, 107–115 (1980).
J. Cerda and H. Coll, “Function cones and interpolation,” Math. Nachr., 278, 227–239 (2005).
A. K. Dronov, “On the existence of a basis in a complemented subspace of a nuclear Köthe space in the class (d 2),” Vladikavkaz Mat. Zh., 18, 9–20 (2016).
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 456, 2017, pp. 107–113.
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Kaplitskii, V.M., Dronov, A.K. To the Theory of Interpolation of Operators That are Bounded on Cones in Weighted Spaces of Numerical Sequences. II. J Math Sci 234, 338–342 (2018). https://doi.org/10.1007/s10958-018-4009-4
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DOI: https://doi.org/10.1007/s10958-018-4009-4