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.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 2, pp. 269–278, February, 2014.
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Nikoufar, I., Rassias, T.M. θ-Centralizers on Semiprime Banach *-algebras. Ukr Math J 66, 300–310 (2014). https://doi.org/10.1007/s11253-014-0930-y
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DOI: https://doi.org/10.1007/s11253-014-0930-y