Linear maps which are $\theta$-centralizers at zero or identity products

Abbas Zivari-Kazempour

doi:10.4134/CKMS.c240086

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Linear maps which are $\theta$-centralizers at zero or identity products

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Centralizer $\theta$-centralizer bilinear map semisimple

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초록

Let $A$ be a unital Banach algebra and let $\theta: A\longrightarrow A$ be a homomorphism. In this paper, we study linear maps $T: A\longrightarrow A$ which are $\theta$-centralizers at zero or identity products, and under special hypotheses we show that every such linear map is a $\theta$-centralizer. Zero and identity Jordan products preservers, and a more restrictive version of them are also discussed.

Abstract

Let $A$ be a unital Banach algebra and let $\theta: A\longrightarrow A$ be a homomorphism. In this paper, we study linear maps $T: A\longrightarrow A$ which are $\theta$-centralizers at zero or identity products, and under special hypotheses we show that every such linear map is a $\theta$-centralizer. Zero and identity Jordan products preservers, and a more restrictive version of them are also discussed.

관련 논문AI추천

Automatic continuity of $n$-Jordan homomorphisms on Banach algebrasAbbas Zivari-Kazempour대한수학회 · 대한수학회논문집2018 · 제33권 제1호 Characterizations of (Jordan) derivations on Banach algebras with local actionsJiankui Li, Kaijia Luo, Shan Li대한수학회 · 대한수학회논문집2023 · 제38권 제2호 Maps preserving Jordan and $\ast$-Jordan triple product on operator $\ast$-algebrasAli Taghavi, Mehran Razeghi, Mojtaba Nouri, Vahid Darvish대한수학회 · 대한수학회보2019 · 제56권 제2호 Maps preserving Jordan triple product A*B+BA* on *-algebrasAli Taghavi, Mehran Razeghi, Mojtaba Nouri, Vahid Darvish강원경기수학회 · 한국수학논문집2018 · 제26권 제1호 Characterizations of Jordan derivable mappings at the unit elementJiankui Li, Kaijia Luo, Shan Li대한수학회 · 대한수학회보2022 · 제59권 제2호 MAPS PRESERVING η-PRODUCT A*B + ηBA* ON C*-ALGEBRASAli Taghavi, Haji Mohammad Nazari, Hamid Rohi, Vahid Darvish대한수학회 · 대한수학회지2017 · 제54권 제3호

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