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DANS UNE ALGEBRE DE BANACH

By Representations Approchees, Pierre Harpe and Max Karoubi

Abstract

Let T be a continuous map from a compact group G to the group of invertible bounded linear operators on a Hilbert space H, the latter being endowed with the norm topology. If the norms ~IT[gh)- TCg]T[h]IJ are small enough Cg,h e G], we show that T is a small perturbation of some norm continuous representation of G on H. I. Introduction. Soient Gun groupe topologique, Hun espace de Hilbert complexe et GL[H) le groupe des op@rateur

Year: 2011
OAI identifier: oai:CiteSeerX.psu:10.1.1.192.7515
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