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Free Banach-Lie
algebras, couniversal Banach-Lie groups, and more
Vladimir G. Pestov |
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Vol. 157 (1993), No. 1, 137–144
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Abstract |
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The construction of free Banach-Lie algebra over a normed space enables us to build a connected separable Banach-Lie group of which any other connected separable Banach-Lie group is a quotient. New proofs are given to the result on representability of any Banach-Lie algebra as a quotient of an enlargable Banach-Lie algebra (due to van Est and Świerczkowski) and to the result on representability of any topological group as a quotient of a group with no small subgroups (due to successive efforts of Morris and Thompson, the author, and Sipacheva and Uspenskiĭ). |
Mathematical Subject Classification 2000
Primary: 46H70
Secondary: 17B65, 22E65
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Milestones
Received: 11 April 1990
Revised: 6 December 1991
Published: 1 January 1993
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Authors |
| Vladimir G. Pestov | |
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