θ-Centralizers on Semiprime Banach *-algebras

• Дата: 2014
• Автори: Nikoufar, I., Rassias, J. M., Нікоуфар, І., Расіас, Дж. М.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2014
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2129
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 *-algeb...