Geodesic
Unbounded approximate identities in normed algebras
Glasgow mathematical journal, Tome 34 (1992) no. 2, pp. 189-192

Voir la notice de l'article provenant de la source Cambridge University Press

The object of this paper is to consider two easy propositions concerning bounded approximate identities and show that they do not extend to unbounded approximate identities. The propositions are as follows.Proposition 1.1. Every bounded left approximate identity in a normed algebra is a left approximate identity for the completion.Proposition 1.2. Every bounded left approximate identity in a separable normed algebra has a subsequence which is a left approximate identity. 
Dixon, P. G. Unbounded approximate identities in normed algebras. Glasgow mathematical journal, Tome 34 (1992) no. 2, pp. 189-192. doi: 10.1017/S0017089500008703
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