@misc{10481/70884, year = {2019}, month = {2}, url = {http://hdl.handle.net/10481/70884}, abstract = {A Banach algebra A is said to be a zero Jordan product determined Banach algebra if, for every Banach space X, every bilinear map phi : A x A -> X satisfying phi(a, b) = 0 whenever a, b is an element of A are such that ab + ba = 0, is of the form phi(a, b) = sigma(ab + ba) for some continuous linear map sigma. We show that all C*-algebras and all group algebras L-1(G) of amenable locally compact groups have this property and also discuss some applications.}, organization = {MINECO PGC2018-093794-B-I00}, organization = {Junta de Andalucia FQM-185}, organization = {Slovenian Research Agency - Slovenia P1-0288}, publisher = {Cambridge University}, keywords = {C*-algebras}, keywords = {Group algebra}, keywords = {Zero Jordan product determined Banach algebra}, keywords = {Zero product determined Banach algebra}, keywords = {Symmetrically amenable Banach algebra}, keywords = {Weakly amenable Banach algebra}, title = {Zero jordan product determined Banach algebras}, author = {Alaminos Prats, Jerónimo and Bresar, M. and Extremera Lizana, José and Villena Muñoz, Armando Reyes}, }