A note on \((\psi_+, \psi_-)\)-derivations of Banach-Jordan systems with nonzero socle

DOI10.1142/S1793557123501048MaRDI QIDQ6650367

C. Zarhouti, H. Marhnine

Publication date: 9 December 2024

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

automatic continuity\((\psi_+,\psi_-)\)-derivation

Mathematics Subject Classification ID

Automatic continuity (46H40) Jordan structures on Banach spaces and algebras (17C65) Nonassociative selfadjoint operator algebras (46L70)

Cites Work

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• On the socle of a Jordan pair
• Jordan pairs
• Local PI theory of Jordan systems
• The local algebras of Jordan systems
• \(\sigma\)-derivations in Banach algebras
• On the stability of \(\theta\)-derivations on \(JB^*\)-triples
• Noetherian Banach Jordan pairs
• A Kleinecke-Shirokov type condition with Jordan automorphisms
• Automatic continuity of $\sigma $-derivations on $C^*$-algebras
• Epimorphisms and Derivations on L ^l (0, 1) are continuous
• The Noncommutative Singer-Wermer Conjecture and ϕ-Derivations
• Derivations on Banach-Jordan Pairs
• Derivations on Jordan-Banach algebras
• Continuous Derivations on Banach Algebras
• Jordan Homomorphisms and Derivations on Semisimple Banach Algebras

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