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On the structure of the infinite dimensional unitary group

โœ Scribed by E. Spiegel


Publisher
Springer
Year
1967
Tongue
English
Weight
289 KB
Volume
172
Category
Article
ISSN
0025-5831

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Integrating Unitary Representations of I
โœ Valerio Toledano Laredo ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 237 KB

We show that in the presence of suitable commutator estimates, a projective unitary representation of the Lie algebra of a connected and simply connected Lie group G exponentiates to G. Our proof does not assume G to be finite-dimensional or of Banach Lie type and therefore encompasses the diffeomor