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Interpolation and operator ideals on Banach \(n\)-tuples. (English) Zbl 1004.46047
Summary: The interpolation of Banach spaces with respect to the operator ideals on Banach \(n\)-tuples (\(n\geq 3\)) is studied. In the first part we introduce the ideals of operators which act between Banach \(n\)-tuples, and in the second one investigate how particular operator ideals behave under interpolation spaces. Special emphasis is given to the case of compact operators.
MSC:
46M35 Abstract interpolation of topological vector spaces
47L20 Operator ideals
46B70 Interpolation between normed linear spaces
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