Disjointness preserving mappings on BSE Ditkin algebras

• Autores: Juan José Font Ferrandis
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 78, Fasc. 2, 2011, págs. 449-455
• Idioma: inglés
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• Resumen

  • Let A and B be regular Banach function algebras. A linear map T de ned from A into B is said to be disjointness preserving or separating if f
    g  0 implies T(f)
    T(g)  0 for all f; g 2 A. We prove that if there exists a disjointness preserving bijection between two BSE Ditkin algebras with a BAI or if they are (supremum norm) isometric, then they are isomorphic as algebras.