Geodesic
Representations of Polish groups and continuity
M. Cianfarani 1   ; J.-M. Paoli 1   ; P. Simonnet 1   ; J.-C. Tomasi 1
1 IUFM de Corse BP 52 20250 Corte, France
Studia Mathematica, Tome 223 (2014) no. 1, pp. 27-52 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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In the first part of the paper, some criteria of continuity of representations of a Polish group in a Banach algebra are given. The second part uses the result of the first part to deduce automatic continuity results of Baire morphisms from Polish groups to locally compact groups or unitary groups. In the final part, the spectrum of an element in the range of a strongly but not norm continuous representation is described.
DOI : 10.4064/sm223-1-3
Keywords: first part paper criteria continuity representations polish group banach algebra given second part uses result first part deduce automatic continuity results baire morphisms polish groups locally compact groups unitary groups final part spectrum element range strongly norm continuous representation described

M. Cianfarani  1   ; J.-M. Paoli  1   ; P. Simonnet  1   ; J.-C. Tomasi  1

1 IUFM de Corse BP 52 20250 Corte, France 
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M. Cianfarani; J.-M. Paoli; P. Simonnet; J.-C. Tomasi. Representations of Polish groups and continuity. Studia Mathematica, Tome 223 (2014) no. 1, pp. 27-52. doi: 10.4064/sm223-1-3

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