Representations of Polish groups and continuity

• Autorzy: M. Cianfarani , J.-M. Paoli , P. Simonnet , J.-C. Tomasi
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 22A25: Representations of general topological groups and semigroups
• 47D03: Groups and semigroups of linear operators
• 47A10: Spectrum, resolvent

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 223
• Numer: 1
• Strony: 27-52

Daty

wydano

2014

Twórcy

autor

M. Cianfarani

• IUFM de Corse, BP 52, 20250 Corte, France

autor

J.-M. Paoli

• IUFM de Corse, BP 52, 20250 Corte, France

autor

P. Simonnet

• IUFM de Corse, BP 52, 20250 Corte, France

autor

J.-C. Tomasi

• IUFM de Corse, BP 52, 20250 Corte, France

Identyfikatory

DOI

10.4064/sm223-1-3