2021-04-122006-06-011678754416787714SCOPUS;2-s2.0-33751053837http://hdl.handle.net/10784/27689Let {(L p0 (Od, µd), L p1 (Od, µd)) , d e D}, 1 = p0 < p1 < 8, be a family of compatible couples of L p -spaces. We show that, given a countably incomplete ultrafilter U in D, the ultraproduct (L p0 (Od, µd), L p1 (Od, µd))? q)U , 0< ? < 1,1 = q < 8 of interpolation spaces defined by the real method is isomorphic to the direct sum of an interpolation space of type (L p0 (O1, ? 1 L p1 (O1, ? 1)) ?, q , an intermediate Köthe space between l p0 (O2, ? 2) and l p1 (O2, ? 2), (O2, ? 2)being a purely atomic measure space, and a Köthe function space K(O3) defined on some purely non atomic measure space (O3, ? 3) in such a way that O2 O3 ? ?. © Springer-Verlag Berlin Heidelberg 2006.enghttps://v2.sherpa.ac.uk/id/publication/issn/1678-7544Interpolation spacesUltraproductsarticle2021-04-12López Molina, J.A.Puerta, M.E.Rivera, M.J.10.1007/s00574-006-0010-5