شماره ركورد كنفرانس :
4079
عنوان مقاله :
On Generalized Derivations of Banach Algebras
پديدآورندگان :
Ahmadi Gandomani M. H. mh.ahmadi@sutech.ac.ir Shiraz University of Technology and Islamic Azad University, Firoozabad Branch, , Mehdipour M. J. mehdipour@sutech.ac.ir Shiraz University of Technology , Nikookolah N. n.nikookolah@sutech.ac.ir Shiraz University of Technology
كليدواژه :
locally compact group , generalized derivation
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
چكيده فارسي :
In this paper, we present some results concerning generalized derivations on the noncommutative
Banach algebra $L_G$. We prove that the subspaces $Ann_r(L_G)$ and $L^{1}(G)$ are invariant under
generalized derivations. We also show that a generalized derivation D on $L_G$ is a right centralizer
if and only if D is weak*−weak* continuous. Finally, we prove that generalized derivations on
.$L_G$ leave the primitive ideals of $L_G$
