A Class of Nonlinear Nonglobal Semi-Jordan Triple Derivable Mappings on Triangular Algebras

A Class of Nonlinear Nonglobal Semi-Jordan Triple Derivable Mappings on Triangular Algebras

In this paper, we proved that each nonlinear nonglobal semi-Jordan triple derivable mapping on a 2-torsion free triangular algebra is an additive derivation. As its application, we get the similar conclusion on a nest algebra or a 2-torsion free block upper triangular matrix algebra, respectively.

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Veröffentlicht in:Journal of mathematics (Hidawi) 2021, Vol.2021, p.1-7
Hauptverfasser: Fei, Xiuhai, Zhang, Haifang
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Mathematical analysis
Mathematics
Matrix algebra
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Zusammenfassung:In this paper, we proved that each nonlinear nonglobal semi-Jordan triple derivable mapping on a 2-torsion free triangular algebra is an additive derivation. As its application, we get the similar conclusion on a nest algebra or a 2-torsion free block upper triangular matrix algebra, respectively.
ISSN:2314-4629
2314-4785
DOI:10.1155/2021/4401874