Extensions of topological algebras
Article Sidebar
Main Article Content
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.
Article Details
Com citar
Fernández Carrión, Antonio et al. “Extensions of topological algebras”. Collectanea Mathematica, vol.VOL 40, no. 1, pp. 55-66, https://raco.cat/index.php/CollectaneaMathematica/article/view/56860.
Articles més llegits del mateix autor/a
- Antonio Fernández Carrión, Fernando Mayoral Masa, Francisco Naranjo Naranjo, Enrique Alfonso Sánchez Pérez, Complex interpolation of spaces of integrable functions with respect to a vector measure , Collectanea Mathematica: 2010: Vol.: 61 Núm.: 3
- Miguel Florencio, Pedro J. Paul, Carmen Sáez, A note on the Köthe-dual of Banach-valued echelon spaces , Collectanea Mathematica: 1988: Vol.: 39 Núm.: 3
- Santiago Díaz Madrigal, Antonio Fernández Carrión, Miguel Florencio, Pedro J. Paul, Complemented copies of $c_o$ in vector-valued Köthe-Dieudonné function spaces , Collectanea Mathematica: 1992: Vol.: 43 Núm.: 1
- Vladimir , 1950- Müller, Embeddings of separable Banach star algebras into a Banach star algebra with one generator , Collectanea Mathematica: 1988: Vol.: 39 Núm.: 3
- Vladimir , 1950- Müller, Non-removable ideals in commutative topological algebras with separately continuous multiplication , Collectanea Mathematica: 1991: Vol.: 42 Núm.: 3