Lie Groups of Measurable Mappings
2003 ◽
Vol 55
(5)
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pp. 969-999
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AbstractWe describe new construction principles for infinite-dimensional Lie groups. In particular, given any measure space (X; Σ, μ) and (possibly infinite-dimensional) Lie group G, we construct a Lie group L∞(X; G), which is a Fréchet-Lie group if G is so. We also show that the weak direct product of an arbitrary family (Gi)i∈I of Lie groups can be made a Lie group, modelled on the locally convex direct sum .
2009 ◽
Vol 146
(2)
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pp. 351-378
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2017 ◽
Vol 28
(05)
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pp. 1750042
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2019 ◽
Vol 71
(1)
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pp. 131-152
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2016 ◽
Vol 101
(2)
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pp. 253-276
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2002 ◽
Vol 194
(2)
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pp. 347-409
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Keyword(s):
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2005 ◽
Vol 227
(2)
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pp. 245-272
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Keyword(s):