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Conveniently Hölder Homomorphisms are Smooth in the Convenient Sense

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Abstract

We show that every ‘conveniently Hölder’ homomorphism between Lie groups in the sense of convenient differential calculus is smooth (in the convenient sense). In particular, every ℓip0-homomorphism is smooth.

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Authors and Affiliations

  1. Fachbereich Mathematik, Technische Universität, Darmstadt, AG 5, Schlossgartenstrasse 7, 64289, Darmstadt, Germany

    Helge Glöckner

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  1. Helge Glöckner
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Correspondence to Helge Glöckner.

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Mathematics Subject Classifications (2000): 22E65 (main), 26E15, 26E20, 46T20, 58C20.

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Glöckner, H. Conveniently Hölder Homomorphisms are Smooth in the Convenient Sense. Ann Glob Anal Geom 27, 227–255 (2005). https://doi.org/10.1007/s10455-005-0040-z

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  • DOI: https://doi.org/10.1007/s10455-005-0040-z

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