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Automatic continuity of $n$-Jordan homomorphisms on Banach algebras

Abbas Zivari-Kazempour
대한수학회 (The Korean Mathematical Society)|2018.01|대한수학회논문집 (Communications of the KMS)|제33권 제1호|pp. 165-170

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참고문헌

키워드

automatic continuitysemisimple$n$-Jordan homomorphism
주제분류수학

초록

In this paper, we show that every unital $n$-Jordan homomorphism $\varphi$ from a Banach algebra $\mathcal{A}$ onto a semisimple commutative Banach algebra $\mathcal{B}$ is continuous.

Abstract

In this paper, we show that every unital $n$-Jordan homomorphism $\varphi$ from a Banach algebra $\mathcal{A}$ onto a semisimple commutative Banach algebra $\mathcal{B}$ is continuous.

참고문헌 (16)

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관련 논문AI추천

ON CONTINUOUS LINEAR JORDAN DERIVATIONS OF BANACH ALGEBRAS김병도, 박규홍한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제2호Almost homomorphisms between Banach algebras박춘길, 이성진강원경기수학회 · 한국수학논문집2010 · 제18권 제1호The properties of Jordan derivations of semiprime rings and Banach algebras, IIByung Do Kim대한수학회 · 대한수학회논문집2019 · 제34권 제3호Linear maps which are $\theta$-centralizers at zero or identity productsAbbas Zivari-Kazempour대한수학회 · 대한수학회논문집2025 · 제40권 제1호Characterization of Pseudo n-Jordan HomomorphismsAbbas Zivari-Kazempour경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2021 · 제61권 제4호Characterizations of (Jordan) derivations on Banach algebras with local actionsJiankui Li, Kaijia Luo, Shan Li대한수학회 · 대한수학회논문집2023 · 제38권 제2호

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