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Non-removable ideals in commutative topological algebras with separately continuous multiplication

  • Autores: Vladimir Müller Árbol académico
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 42, Fasc. 3, 1991, págs. 189-198
  • Idioma: inglés
  • Títulos paralelos:
    • Ideales no removibles en álgebras topológicas conmutativas con multiplicación separadamente continua
  • Enlaces
  • Resumen
    • An ideal in a commutative topological algebra with separately continuous multiplication is non-removable if and only if it consists locally of joint topological divisors of zero. Also, any family of non-removable ideals can be removed simultanously.

  • Referencias bibliográficas
    • R. Arens, Extensions of Banach algebras, Pacific J. Math 10 (1960), 1–16.
    • R. Arens, Ideals in Banach algebra extensions, Studia Math. 31 (1968), 29–34.
    • B. Bollobás, Adjoining inverses to commutative Banach algebras, Trans. Amer. Math. Soc. 181 (1973), 165–179.
    • A. Fernández, M. Florencio, V. Müller, P. Paúl, Extensions of topological algebras, Collectanea Math. 40, 1 (1989), 55–65.
    • V. Müller, Non-removable ideals in commutative Banach algebras, Studia Math. 74 (1982), 97–104.
    • V. Müller, Removability of ideals in commutative Banach algebras, Studia Math. 78 (1984), 297–307.
    • W. Żelazko, A characterization of LC-non-removable ideals in commutative Banach algebras, Pac. J. Math. 87 (1980), 241–248.
    • W. Żelazko, On non-removable ideals in commutative locally convex algebras, Studia Math. 77 (1984), 133–154.

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