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Characterization of n-Jordan homomorphisms and their automatic continuity on banach algebras

机译:Characterization of n-Jordan homomorphisms and their automatic continuity on banach algebras

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Abstract In this paper, we prove that each n-Jordan homomorphism φdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$varphi $$end{document} from Banach algebra Adocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathcal {A}$$end{document} into a semisimple commutative Banach algebra Bdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathcal {B}$$end{document} is automatically continuous. Some useful results about characterization of n-Jordan homomorphisms and interesting examples of them on Banach algebras are given as well.

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