ACTA UNIVERSITATIS APULENSIS No 19/2009 HOMOMORPHISMS BETWEEN C∗-ALGEBRAS AND THEIR STABILITIES
نویسندگان
چکیده
In this paper, we introduce the following additive type functional equation f(rx+ sy) = r + s 2 f(x+ y) + r − s 2 f(x− y), where r, s ∈ R with r + s, r − s 6= 0. Also we investigate the Hyers–Ulam–Rassias stability of this functional equation in Banach modules over a unital C∗-algebra. These results are applied to investigate homomorphisms between C∗-algebras. 2000 Mathematics Subject Classification: Primary 39B52, 46L05, 47B48.
منابع مشابه
ACTA UNIVERSITATIS APULENSIS No 15/2008 PRODUCTS OF MULTIALGEBRAS AND THEIR FUNDAMENTAL ALGEBRAS
An important tool in the hyperstructure theory is the fundamental relation. The factorization of a multialgebra modulo its fundamental relation provides a functor into the category of universal algebras. The question that lead us to the results we will present is whether this functor commutes with the products. 2000 Mathematics Subject Classification: 08A05, 20N20, 08A99.
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