RT Journal Article
T1 Hypergroup algebras as topological algebras
A1 Maghsoudi, S.
A1 Seoane Sepúlveda, Juan Benigno
AB Let 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.
PB Cambridge University Press
SN 0004-9727
YR 2014
FD 2014-12
LK https://hdl.handle.net/20.500.14352/33881
UL https://hdl.handle.net/20.500.14352/33881
LA eng
NO University of Zanjan
NO CNPq
DS Docta Complutense
RD 20 abr 2025