Weighted Orlicz Algebras on Locally Compact Groups
Abstract: Let G be a locally compact group with left Haar measure and let w be a weight on G. The weighted Orlicz space determined by a Young function _, denoted by L_ w(G), is a natural generalization of the weighted Lebesgue space Lp w(G), 1 _ p _ 1. In this talk, we study on the weighted Orlicz algebra L_ w(G) with respect to convolution. We show that, for non-discrete group G, L_ w(G) admits no bounded left approximate identity under some conditions. Further, we characterize the all closed left ideals of the weighted Orlicz algebra L_ w(G) similar to L1 w(G). Moreover, we describe the spectrum ( the maximal ideal space ) of the weighted Orlicz algebra L_ w(G) for abelian group G and show that these algebras are semi-simple. Also, we obtain the known results as a special cases.
Date: Monday, December 8, 2014
Place: Mathematics Seminar Room, SA-141
Tea and cookies will be served before the seminar.