Representations of Polish groups and continuity

M. Cianfarani, et al. "Representations of Polish groups and continuity." Studia Mathematica 223.1 (2014): 27-52. <http://eudml.org/doc/285897>.

@article{M2014,
abstract = {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.},
author = {M. Cianfarani, J.-M. Paoli, P. Simonnet, J.-C. Tomasi},
journal = {Studia Mathematica},
keywords = {automatic continuity; Polish groups; linear representations; spectrum},
language = {eng},
number = {1},
pages = {27-52},
title = {Representations of Polish groups and continuity},
url = {http://eudml.org/doc/285897},
volume = {223},
year = {2014},
}

TY - JOUR
AU - M. Cianfarani
AU - J.-M. Paoli
AU - P. Simonnet
AU - J.-C. Tomasi
TI - Representations of Polish groups and continuity
JO - Studia Mathematica
PY - 2014
VL - 223
IS - 1
SP - 27
EP - 52
AB - 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.
LA - eng
KW - automatic continuity; Polish groups; linear representations; spectrum
UR - http://eudml.org/doc/285897
ER -