θ-Centralizers on Semiprime Banach *-algebras

  • I. Nikoufar
  • J. M. Rassias Nat. Capodistrian Univ. Athens, Greece

Abstract

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.
Published
25.02.2014
How to Cite
NikoufarI., and RassiasJ. M. “θ-Centralizers on Semiprime Banach *-Algebras”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, no. 2, Feb. 2014, pp. 269–278, http://umj.imath.kiev.ua/index.php/umj/article/view/2129.
Section
Research articles