Projective limits of Banach-Lie groups |
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| Authors: | George Galanis |
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| Institution: | (1) Department of Mathematics, University of Athens, Panepistimiopolis, 15784 Athens, Greece |
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| Abstract: | In this paper we characterize commutative Fréchet-Lie groups using the exponential map. In particular we prove that if a commutative Fréchet-Lie groupG has an exponential map, which is a local diffeomorphism, thenG is the limit of a projective system of Banach-Lie groups. |
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| Keywords: | Primary 58B25 22E65 |
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