On a $$\rho $$-Orthogonally Additive Mappings
نویسندگان
چکیده
منابع مشابه
Orthogonally Additive Polynomials on C*-algebras
Let A be a C*-algebra which has no quotient isomorphic to M2(C). We show that for every orthogonally additive scalar nhomogeneous polynomials P on A such that P is Strong* continuous on the closed unit ball of A, there exists φ in A∗ satisfying that P (x) = φ(x), for each element x in A. The vector valued analogue follows as a corollary.
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begin{abstract} If $F,D:Rto R$ are additive mappings which satisfy $F(x^{n}y^{n})=x^nF(y^{n})+y^nD(x^{n})$ for all $x,yin R$. Then, $F$ is a generalized left derivation with associated Jordan left derivation $D$ on $R$. Similar type of result has been done for the other identity forcing to generalized derivation and at last an example has given in support of the theorems. end{abstract}
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ژورنال
عنوان ژورنال: Results in Mathematics
سال: 2020
ISSN: 1422-6383,1420-9012
DOI: 10.1007/s00025-020-01238-9