Extensions of topological algebras

• Autores: Antonio Fernández Carrión, Miguel Florencio Lora, Pedro J. Paúl, Vladimir Müller
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 40, Fasc. 1, 1989, págs. 55-65
• Idioma: inglés
• Títulos paralelos:
  • Extensiones de álgebras topológicas
• Enlaces
  • Texto completo
• Resumen

  • We prove that, in the class of commutative topological algebras with separately continuous multiplication, an element is permanently singular if and only if it is a topological divisor of zero. This extends the result given by R. Arens [1] for the Banach algebra case. We also give sufficient conditions for non-removability of ideals in commutative topological algebras with jointly continuous multiplication.