Characterizing derivations and anti-derivations on group algebras through orthogonality

Abstract

Let L^1(G) and M(G) be group algebra and measure algebra of a locally compact group G, respectively and D:L^1(G)-->M(G) be a continuous linear map. We consider D behaving like derivation or anti-derivation at orthogonal elements for several types of orthogonality conditions and we characterize such maps.