Abstract
In this paper, we investigate the automatic continuity of n-homomorphisms and n-Jordan homomorphisms between Banach algebras, and generalize some well-known results concerning the automatic continuity of homomorphisms and Jordan homomorphisms. In particular, we generalize a Rickart’s theorem for dense range n-homomorphisms with the additional hypothesis that the Banach algebra \({\mathcal {A}}\) is unital.
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The authors gratefully acknowledge the helpful comments of the anonymous referees.
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Zivari-Kazempour, A., Mewomo, O.T. Automatic continuity of dense range n-homomorphisms. Bol. Soc. Mat. Mex. 28, 53 (2022). https://doi.org/10.1007/s40590-022-00449-0
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DOI: https://doi.org/10.1007/s40590-022-00449-0