#### Gebze Technical University Mathematics Department General Seminars

Invariant Subsets and Compact Multipliers of Orlicz Spaces
Rüya Üster
Istanbul University, Turkey
Özet : Let $G$ be a locally compact group with left Haar measure $\mu$ and $\Phi$ be a Young function. We will consider the Orlicz space $L^\Phi(G)$ as an$L^1(G)$- module. If we take $\Phi(x)=\frac{x^p}{p}$ ,$1 \leq p < \infty$, $L^\Phi(G)$ becomes the classical Lebesgue space $L^p(G)$. \\In this talk we study the closed convex left invariant subsets of $L^\Phi(G)$ and characterize affine mappings for Orlicz space. Finally we apply the results to the study of multipliers of $L^\Phi(G)$. These results generalize classical results on $L^p$ spaces. This is a joint work with Serap Oztop.
 Tarih : 01.11.2019 Saat : 14:00 Yer : Gebze Teknik Üniversitesi, İşletme Fakültesi Binası, Matematik Bölümü Seminer Odası Dil : English