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Correct interpolation functors of orbits. (English) Zbl 0826.46066

The authors show that certain interpolation functors of orbits are correct. This implies that under the approximation condition those functors are computable, i.e., are completely determined by the regular finite-dimensional couple of Banach spaces. Also they give the notion of local factorizable Banach couples and show that each mutually closed couple of Banach ideal spaces is local factorizable. The authors also give some applications of the above results.

MSC:

46M35 Abstract interpolation of topological vector spaces
46B70 Interpolation between normed linear spaces
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