Atlasov, I. V. Interpolation of linear transformers. (English. Russian original) Zbl 0855.46045 Russ. Acad. Sci., Dokl., Math. 47, No. 3, 357-361 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 330, No. 1, 5-8 (1993). Let \((A_0, A_1)\) be a Banach couple. The author investigates interpolation between \(L(X, A_0)\), \(L(X, A_1)\), and resp. between \(L(A_0, X)\) and \(L(A_1, X)\), where \(X\) is an arbitrary Banach space. The results stated are too technical to be reproduced here; no proofs are given. Reviewer: D.Werner (Berlin) Cited in 1 Document MSC: 46M35 Abstract interpolation of topological vector spaces 47B49 Transformers, preservers (linear operators on spaces of linear operators) 46B28 Spaces of operators; tensor products; approximation properties 46B70 Interpolation between normed linear spaces Keywords:real interpolation method; \(K\)-method; \(J\)-method; Banach couple PDFBibTeX XMLCite \textit{I. V. Atlasov}, Russ. Acad. Sci., Dokl., Math. 47, No. 3, 1 (1993; Zbl 0855.46045); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 330, No. 1, 5--8 (1993)