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Représentations approchees d’un groupe dans une algèbre de Banach. (French) Zbl 0371.22007


MSC:

22D12 Other representations of locally compact groups
22C05 Compact groups
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References:

[1] BERG I.D.: ?On approximation of normal operators by weighted shifts?. Michigan Math. J.21 377-383 (1974). Voir aussi ?Index theory for perturbations of direct sums of normal operators and weighted shifts?, à paraitre. · Zbl 0303.47022
[2] BONSALL F.F. et DUNCAN J.: ?Complete normed algebras?. Springer 1973. · Zbl 0271.46039
[3] BOURBAKI N.: ?Intègration, chapitres I à IV, 2è édition?. Hermann 1965.
[4] BROWN L.G., DOUGLAS R.G. et FILLMORE P.A.: ?Unitary equivalence modulo the compact operators and extensions of C*-algebras?. Springer Lecture Notes in Mathematics 345 (1973) 58-128. · Zbl 0277.46053 · doi:10.1007/BFb0058917
[5] DIXMIER J.: ?Les C*-algèbres et leurs représentations (2è édition)?. Gauthier-Villars 1969.
[6] De La HARPE P. et KAROUBI M.: ?Perturbations compactes des représentations d’un groupe dans un espace de Hilbert, I?. Bull. Soc. math. France, Mémoire 46, 1976, 41-65 · Zbl 0331.46051
[7] KALLMAN R.R.: A characterization of uniformly continuous representations of connected locally compact groups. Michigan Math. J. 16 (1969) 257-263. · Zbl 0182.18102 · doi:10.1307/mmj/1029000269
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