# zbMATH — the first resource for mathematics

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)
##### Keywords:
real interpolation; quasi-normed Abelian groups