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
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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.