[EN] We study some new summability properties of multilinear operators. We introduce the concepts of phi-summing, phi semi-integral and phi-dominated multilinear maps generated by Orlicz functions. We prove a variant of ...
Comfort, W.W.; Raczkowski, S.U.; Trigos-Arrieta, F.J.(Universitat Politècnica de València, 2006-04-01)
[EN] (1) Every infinite, Abelian compact (Hausdorff) group K admits 2|K|- many dense, non-Haar-measurable subgroups of cardinality |K|. When K is nonmetrizable, these may be chosen to be pseudocompact. (2) Every infinite ...
[EN] We prove that under adequate geometric requirements, translation invariant mappings between vector-valued quasi-Banach function spaces on a locally compact group G have a bounded extension between Kothe-Bochner spaces ...