Isomorphisms and Generalized Derivations in Proper Cq∗-algebras
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چکیده
In this paper, we prove the Hyers-Ulam-Rassias stability of homomorphisms in proper CQ∗-algebras and of generalized derivations on proper CQ∗-algebras for the following Cauchy-Jensen additive mappings: f ( x + y + z 2 ) + f ( x− y + z 2 ) = f(x) + f(z), f ( x + y + z 2 ) − f ( x− y + z 2 ) = f(y), 2f ( x + y + z 2 ) = f(x) + f(y) + f(z), which were introduced and investigated in [3, 30]. This is applied to investigate isomorphisms in proper CQ∗-algebras.
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تاریخ انتشار 2010