\({\mathcal K}\)- and \({\mathcal J}\)- real interpolation methods for Banach triples. (English) Zbl 1004.46017

Cofan, N.; Stan, I.

An. Univ. Timiş., Ser. Mat.-Inform. 35, No. 2, 183-192 (1997).

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

Keywords:

real interpolation method; equivalence theorem; reiteration theorem