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On the real interpolation method for quasi-normed Abelian groups. (English) Zbl 0642.46061
Semin. Oper. Liniari Anal. Armonică, Univ. Timişoara 9, 15 p. (1985).
In this paper we extend the real interpolation methods (\(\theta\),p,K) and (\(\theta\),p,J) for quasi-normed Abelian groups to (f,p,K) and (f,p,J) methods, respectively. The theory developed is applied to interpolation of \(\ell^ f_ p(A)\) and \(L^ p\) spaces.
MSC:
46M35 Abstract interpolation of topological vector spaces
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
46A45 Sequence spaces (including Köthe sequence spaces)