Maps preserving two-sided zero products on Banach algebras Bresar, M. Castillo Godoy, María Luisa Villena Muñoz, Armando Reyes Zero product determined Banach algebra Weakly amenable Banach algebra Group algebra of a locally compact group C∗-algebra Algebra of approximable operators Weighted Jordan homomorphism Two-sided zero products Linear preserver Let A and B be Banach algebras with bounded approximate identities and let F: A→B be a surjective continuous linear map which preserves twosided zero products (i.e., F(a)F(b) = F(b)F(a) = 0 whenever ab = ba = 0). We show that F is a weighted Jordan homomorphism provided that A is zero product determined and weakly amenable. These conditions are in particular fulfilled when A is the group algebra L1(G) with G any locally compact group. We also study a more general type of continuous linear maps F : A → B that satisfy F(a)F(b)+F(b)F(a) = 0 whenever ab = ba = 0. We show in particular that if F is surjective and A is a C∗-algebra, then F is a weighted Jordan homomorphism. 2022-09-14T11:45:24Z 2022-09-14T11:45:24Z 2021-12-16 info:eu-repo/semantics/article Published version: M. Brešar, M.L.C. Godoy, A.R. Villena, Maps preserving two-sided zero products on Banach algebras, Journal of Mathematical Analysis and Applications, Volume 515, Issue 1, 2022, 126372, ISSN 0022-247X, [https://doi.org/10.1016/j.jmaa.2022.126372] http://hdl.handle.net/10481/76695 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess Attribution-NonCommercial-NoDerivatives 4.0 Internacional Elsevier