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Linear and Multilinear Algebra Volume 59, 2011 - Issue 2
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Original Articles

Characterizations of Jordan derivations and Jordan homomorphisms

Jiankui Li Department of Mathematics, East China University of Science and Technology, Shanghai 200237, P.R. ChinaCorrespondence[email protected]
&
Jiren Zhou Department of Mathematics, East China University of Science and Technology, Shanghai 200237, P.R. China
Pages 193-204 | Received 23 Jul 2009, Accepted 31 Aug 2009, Published online: 18 Feb 2011

Citations (21)

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Lin Chen, Jun Li & Zijie Qin. (2023) A characterization of derivations of JSL algebras. Quaestiones Mathematicae 46:12, pages 2507-2516.
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Jun He, Haixia Zhao & Guangyu An. (2023) Generalized derivable mappings and centralizable mappings on B(X). Linear and Multilinear Algebra 71:17, pages 2719-2727.
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Runling An & Yaru Cai. (2021) Derivations and derivable maps on von Neumann algebras. Linear and Multilinear Algebra 69:15, pages 2806-2812.
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MarΓ­a J. Burgos, Javier Cabello SΓ‘nchez & Antonio M. Peralta. (2019) Linear maps between C*-algebras that are *-homomorphisms at a fixed point. Quaestiones Mathematicae 42:2, pages 151-164.
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Jiren Zhou. (2016) Characterizations of generalized derivations associated with hochschild 2-cocycles and higher derivations. Quaestiones Mathematicae 39:6, pages 845-862.
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Runling An, Chunhui Xue & Jinchuan Hou. (2015) Equivalent characterization of derivations on operator algebras. Linear and Multilinear Algebra 63:1, pages 107-119.
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Runling An & Jinchuan Hou. (2013) Characterization of derivations on reflexive algebras. Linear and Multilinear Algebra 61:10, pages 1408-1418.
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Jiankui Li, Zhidong Pan & Qihua Shen. (2013) Jordan and Jordan higher all-derivable points of some algebras. Linear and Multilinear Algebra 61:6, pages 831-845.
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Hoger Ghahramani. (2012) Additive mappings derivable at non-trivial idempotents on Banach algebras. Linear and Multilinear Algebra 60:6, pages 725-742.
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Kaijia Luo & Jiankui Li. Functional identities on Banach algebras and matrix rings. Communications in Algebra 0:0, pages 1-12.
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Articles from other publishers (11)

Leping Xie & Jueliang Zhou. (2022) A Note of Jordan Derivations on Triangular Algebras. A Note of Jordan Derivations on Triangular Algebras.
Guangyu An, Xueli Zhang & Jun He. (2022) Characterizations of *-antiderivable mappings on operator algebras. Open Mathematics 20:1, pages 517-528.
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Jiankui Li & Shan Li. (2021) Linear Mappings Characterized by Action on Zero Products or Unit Products. Bulletin of the Iranian Mathematical Society 48:1, pages 31-40.
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Mohammad Valaei, Abbas Zivari-Kazempour & Abasalt Bodaghi. (2021) Jordan amenability of banach algebras. Mathematica Slovaca 71:3, pages 721-730.
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Xiaofei Qi, Zhiling Guo & Ting Zhang. (2020) Characterizing Jordan n-Derivations of Unital Rings Containing Idempotents. Bulletin of the Iranian Mathematical Society 46:6, pages 1639-1658.
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Guangyu An, Jun He & Jiankui Li. (2019) Characterizations of $${*}$$ and $${*}$$-left derivable mappings on some algebras. Annals of Functional Analysis 11:3, pages 680-692.
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悦 李. (2020) Characterization of Derivations on von Neumann Algebras by Derivable Maps. Advances in Applied Mathematics 09:06, pages 911-918.
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Mostafa Kafi Moghadam, M. Miri & A. R. Janfada. (2015) A Note on Derivations on the Algebra of Operators in Hilbert C*-Modules. Mediterranean Journal of Mathematics 13:3, pages 1167-1175.
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Hoger Ghahramani. (2014) On Centralizers of Banach Algebras. Bulletin of the Malaysian Mathematical Sciences Society 38:1, pages 155-164.
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B. Arslan & H. Inceboz. (2014) A characterization of generalized Jordan derivations on Banach algebras. Periodica Mathematica Hungarica 69:2, pages 139-148.
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Jiren Zhou. (2011) Linear mappings derivable at some nontrivial elements. Linear Algebra and its Applications 435:8, pages 1972-1986.
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