θ-Centralizers on Semiprime Banach *-algebras
We generalize the celebrated theorem of Johnson and prove that every left θ -centralizer on a semisimple Banach algebra with left approximate identity is continuous. We also investigate the generalized Hyers–Ulam–Rassias stability and the superstability of θ -centralizers on semiprime Banach *-algebras.
English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 2, pp 300-310.
Citation Example: Nikoufar I., Rassias J. M. θ-Centralizers on Semiprime Banach *-algebras // Ukr. Mat. Zh. - 2014. - 66, № 2. - pp. 269–278.