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Johnson–Sinclair theorem for $φ$ -derivations on Banach–Jordan rings

Center of Higher Education and Training CRMEFTTH (ex. CPR), Department of Mathematics and Informatics, Research Team of Didactic Engineering of Mathematics, and Transversal Disciplines, Avenue My Abdelaziz, Souani, B.P. 3117, Tangier, Morocco

E-mail Address: chafikazarhouticrmef@gmail.com

Corresponding author.

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Hassan Marhnine

E-mail Address: radimarhn@hotmail.com

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https://doi.org/10.1142/S1793557124501341Cited by:0 (Source: Crossref)

Abstract

$(φ_{+}, φ_{-})$ -derivations defined from a Banach–Jordan pair $V = (V^{+}, V^{-})$ into a semisimple Banach–Jordan pair $W = (W^{+}, W^{-})$ are automatically continuous provided that $φ = (φ_{+}, φ_{-})$ $(φ_{σ} : V^{σ} \to W^{σ})$ is an epimorphism.