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On the real interpolation methods of Banach $$(n+1)$$-tuples. (English) Zbl 0910.46057
Summary: The Peetre’s $$K$$- and $$J$$-methods of interpolation of Banach couples are extended to $$n+1$$, $$n\geq 2$$ Banach spaces. In particular cases, we obtain the results from [the authors, N. Cofan and P. Gavruta [Semin. Oper. Liniari Anal. Armonica, Univ. Timişoara 1 (1988; Zbl 0686.46046)] and [G. Sparr, Ann. Mat. Pura Appl. IV. Ser. 99, 247-316 (1974; Zbl 0282.46022)].
##### MSC:
 46M35 Abstract interpolation of topological vector spaces 46B70 Interpolation between normed linear spaces