AUTOMATIC CONTINUITY OF σ-c DERIVATION ON QUASI-SEMISIMPLE BANACH ALGEBRAS

Authors

  • Suham M, Arwa Nazar and Juwan A Author

Keywords:

quasi- Banach algebras, Banach algebras, ultraprime, semi-simple quasi-Banach algebras.

Abstract

This paper establishes the automatic continuity of σ-c-derivations on semisimple quasi-Banach algebras, extending the foundational approaches of Villena [13] and Mohammed and Ali [7]. Furthermore, we demonstrate that every σ-c-derivation is necessarily continuous on all nonzero ideals of a prime quasi-C* algebra. 

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Published

2026-07-15

How to Cite

AUTOMATIC CONTINUITY OF σ-c DERIVATION ON QUASI-SEMISIMPLE BANACH ALGEBRAS. (2026). Minimax Theory and Its Applications, 11(1), 118-129. https://journalmta.com/index.php/jmta/article/view/250