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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)

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
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