Journal of Lie Theory Vol. 14, No. 1, pp. 215226 (2004) 

Asymptotic Products and Enlargibility of BanachLie AlgebrasDaniel BeltitaDaniel BeltitaInstitute of Mathematics ``Simion Stoilow'' of the Romanian Academy P.O. Box 1764 RO70700 Bucharest Romania dbeltita@imar.ro Abstract: The paper provides a ``standard'' proof of a local theorem on enlargibility of BanachLie algebras. A particularly important special case of that theorem is that a BanachLie algebra is enlargible provided it has a dense locally finite subalgebra. The theorem is due to V. Pestov, who proved it by techniques of nonstandard analysis. The present proof uses a theorem concerning enlargibility of asymptotic products of contractive BanachLie algebras. Keywords: asymptotic product; enlargible BanachLie algebra Classification (MSC2000): 22E65; 17B65, 46B08 Full text of the article:
Electronic version published on: 29 Jan 2004. This page was last modified: 1 Sep 2004.
© 2004 Heldermann Verlag
