**“ Weighted
Orlicz Algebras on Locally Compact Groups”**

By

**ALEN OSANÇLIOL**

**(YEDİTEPE UNIVERSITY)**

**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 *L**p 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 *L*1 *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**

**Time: ****15:40**

**Place: ****Mathematics Seminar Room,
SA-141**

Tea and cookies will be served before the
seminar.