Summary
The object of this note is to prove: — Let G be a connected, locally compact subgroup of an analytic group H modelled on a Banach space. Then G itself is a finite dimensional analytic subgroup of H.
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Bibliography
C. Chevalley,Theory of Life Groups.
J. Leslie,Some Remarks on Function Spaces (to appear).
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Leslie, J.A. On a theorem of E. Cartan. Annali di Matematica 74, 173–177 (1966). https://doi.org/10.1007/BF02416455
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DOI: https://doi.org/10.1007/BF02416455