Maghsoudi, S.Seoane Sepúlveda, Juan Benigno2023-06-192023-06-192014-120004-972710.1017/S0004972714000367https://hdl.handle.net/20.500.14352/33881Let K be a locally compact hypergroup endowed with a left Haar measure and let L1(K) be the usual Lebesgue space of K with respect to the left Haar measure. We investigate some properties of L1(K) under a locally convex topology β1. Among other things, the semireflexivity of (L1(K),β1) and of sequentiallyβ1-continuous functionals is studied. We also show that (L1(K),β1) with the convolution multiplication is always a complete semitopological algebra, whereas it is a topological algebra if and only if K is compact.engjournal articlehttp://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9391117&fileId=S0004972714000367restricted access517locally compact hypergroupstrict topologyhypergroup algebratopological algebraAnálisis matemático1202 Análisis y Análisis Funcional