$n$-Jordan homomorphisms on C-algebras
نویسندگان
چکیده مقاله:
Let $nin mathbb{N}$. An additive map $h:Ato B$ between algebras $A$ and $B$ is called $n$-Jordan homomorphism if $h(a^n)=(h(a))^n$ for all $ain A$. We show that every $n$-Jordan homomorphism between commutative Banach algebras is a $n$-ring homomorphism when $n < 8$. For these cases, every involutive $n$-Jordan homomorphism between commutative C-algebras is norm continuous.
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عنوان ژورنال
دوره 01 شماره 01
صفحات 1- 7
تاریخ انتشار 2012-03-01
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