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\({\mathcal K}\)- and \({\mathcal J}\)- real interpolation methods for Banach triples. (English) Zbl 1004.46017
Summary: We study a general form of J. Peetre’s \({\mathcal K}\)- and \({\mathcal J}\)-methods of interpolation for Banach triples. Special emphasis is given to the equivalence theorem for \({\mathcal K}\)- and \({\mathcal J}\)-spaces and to reiteration theorem.
MSC:
46B70 Interpolation between normed linear spaces
46M35 Abstract interpolation of topological vector spaces
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