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AUTOMATIC CONTINUITY OF n-JORDAN HOMOMORPHISMS ON BANACH ALGEBRAS
Zivari-Kazempour, Abbas Korean Mathematical Society 2018 대한수학회논문집 Vol.33 No.1
In this paper, we show that every unital n-Jordan homomorphism ${\varphi}$ from a Banach algebra ${\mathcal{A}}$ onto a semisimple commutative Banach algebra B is continuous.
ON APPROXIMATE MIXED n-JORDAN HOMOMORPHISMS ON BANACH ALGEBRAS
( Abbas Zivari-kazempour ),( Mohammad Valaei ) 호남수학회 2020 호남수학학술지 Vol.42 No.4
In this paper, the Hyers-Ulam-Rassias stability of mixed n-Jordan homomorphisms on Banach algebras and the superstabil-ity of mixed n-Jordan *-homomorphism between C*-algebras are investigated.
Generalized isometry in normed spaces
Abbas Zivari-Kazempour 대한수학회 2022 대한수학회논문집 Vol.37 No.1
Let $g:X\longrightarrow Y$ and $f:Y\longrightarrow Z$ be two maps between real normed linear spaces. Then $f$ is called generalized isometry or $g$-isometry if for each $x,y \in X$, $$ \Vert f(g(x))-f(g(y))\Vert=\Vert g(x)-g(y)\Vert. $$ In this paper, under special hypotheses, we prove that each generalized isometry is affine. Some examples of generalized isometry are given as well.
Characterization of Pseudo n-Jordan Homomorphisms
Zivari-Kazempour, Abbas Department of Mathematics 2021 Kyungpook mathematical journal Vol.61 No.4
In this paper, among other things, we show that under special hypotheses every [pseudo] (n + 1)-Jordan homomorphism is a [pseudo] n-Jordan homomorphism and vice versa.
A simple proof for a result on $n$-Jordan homomorphisms
박춘길,Abbas Zivari-Kazempour 대한수학회 2023 대한수학회논문집 Vol.38 No.2
In this short note, we give a simple proof of the main theorem of \cite{Cheshmavar} which states that every $n$-Jordan homomorphism $h:A\longrightarrow B$ between two commutative algebras $A$ and $B$ is an $n$-homomorphism.