منابع مشابه
$n$-Jordan homomorphisms on C-algebras
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.
متن کاملCharacterization of n–Jordan homomorphisms on Banach algebras
In this paper we prove that every n-Jordan homomorphis varphi:mathcal {A} longrightarrowmathcal {B} from unital Banach algebras mathcal {A} into varphi -commutative Banach algebra mathcal {B} satisfiying the condition varphi (x^2)=0 Longrightarrow varphi (x)=0, xin mathcal {A}, is an n-homomorphism. In this paper we prove that every n-Jordan homomorphism varphi:mathcal {A} longrightarrowmathcal...
متن کاملApproximate n-Lie Homomorphisms and Jordan n-Lie Homomorphisms on n-Lie Algebras
and Applied Analysis 3 Park and Rassias 59 proved the stability of homomorphisms in C∗-algebras and Lie C∗-algebras and also of derivations on C∗-algebras and Lie C∗-algebras for the Jensen-type functional equation μf ( x y 2 ) μf ( x − y 2 ) − fμx 0 1.6 for all μ ∈ T1 : {λ ∈ C; |λ| 1}. In this paper, by using the fixed-point methods, we establish the stability of n-Lie homomorphisms and Jordan...
متن کاملJordan * -homomorphisms on C * -algebras
In this paper, we investigate Jordan ∗-homomorphisms on C∗-algebras associated with the following functional inequality ‖f( b−a 3 ) + f( a−3c 3 ) + f( 3a+3c−b 3 )‖ ≤ ‖f(a)‖. We moreover prove the superstability and the generalized Hyers-Ulam stability of Jordan ∗homomorphisms on C∗-algebras associated with the following functional equation f( b− a 3 ) + f( a− 3c 3 ) + f( 3a+ 3c− b 3 ) = f(a).
متن کاملJordan homomorphisms and harmonic mappings
We show that each Jordan homomorphism R→ R′ of rings gives rise to a harmonic mapping of one connected component of the projective line over R into the projective line over R′. If there is more than one connected component then this mapping can be extended in various ways to a harmonic mapping which is defined on the entire projective line over R. Mathematics Subject Classification (2000): 51C0...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2009
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s000497270900032x