English

Characterizing derivations and anti-derivations on group algebras through orthogonality

Functional Analysis 2020-01-27 v1

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.

Keywords

Cite

@article{arxiv.1806.01019,
  title  = {Characterizing derivations and anti-derivations on group algebras through orthogonality},
  author = {Hoger Ghahramani},
  journal= {arXiv preprint arXiv:1806.01019},
  year   = {2020}
}