Hyers-Ulam-Rassias stability of \((m, n)\)-Jordan derivations

DOI10.1515/MATH-2020-0109zbMath1485.16038OpenAlexW3119864517MaRDI QIDQ2053547

Guang Yu An, Ying Yao

Publication date: 29 November 2021

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2020-0109

zbMATH Keywords

\(C^*\)-algebra\((m, n)\)-Jordan derivation

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Functional inequalities, including subadditivity, convexity, etc. (39B62) Derivations, actions of Lie algebras (16W25)

Cites Work

• Solution of a problem of Ulam
• On approximation of approximately linear mappings by linear mappings
• On stability of additive mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Characterizations of \((m,n)\)-Jordan derivations and \((m,n)\)-Jordan derivable mappings on some algebras
• Homomorphisms between Poisson JC*-algebras
• On the generalized Hyers-Ulam stability of module left derivations
• On the stability of the linear transformation in Banach spaces
• Mappings on some reflexive algebras characterized by action on zero products or Jordan zero products
• On Left Derivations and Related Mappings
• On (m,n)-Jordan centralizers in rings and algebras
• Strongly Reflexive Lattices
• On the Stability of the Linear Mapping in Banach Spaces
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