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Journal of Lie Theory, 7(2), 293-300 (1997)
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On a Theorem of S. Banach

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K.-H. Neeb

Mathematisches Institut

Universität Erlangen-Nürnberg

Bismarckstr. $\scriptstyle1{1\over2}$

D-91054 Erlangen

Germany

**Abstract:** In this note we discuss a Theorem of S. Banach which states that every Baire measurable homomorphism between polish groups is continuous. Furthermore we describe an application to the representation theory of the infinite dimensional unitary group.
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