Extreme points of the unit ball of the fourier-stieltjes algebra

Proceedings of the American Mathematical Society

Volumn 128, Issue 4, 2000, Pages 1097-1103

  Mah, Peter F ^a   Miao, Tianxuan ^a  

^a LAKEHEAD UNIVERSITY   (Canada)

Author keywords

Extreme points; Fourier algebra; Fourier stieltjes algebra; Locally compact groups; Weak* strongly exposed points

Indexed keywords

EID: 23044518021     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-99-05104-7     Document Type: Article

References (14)

1. G. Arsac, Sur l'espace de Banach engendré par les coefficients d'une représentation unitaire, Publ. Dép. Math. (Lyon) 13 (1976), 1-101. MR 50:3180
2. M.B. Bckka, E. Kaniuth, A.T. Lau and G. Schlichting, Weak* -closedness of subspaces of Fourier-Stieltjes algebras and weak-continuity of the restriction map, Trans. Amer. Math. Soc. 350 (1998), 2277-2296. MR 98h:22004
3. A. Bélanger and B. Forrest, Geometrie properties of coefficient function spaces determined by unitary representations of a locally compact groups, J. Math. Anal. Appl. 193 (1995), 390-405. MR 96f:22005
4. J. Diestel and J.J. UHL, Vector Measures, Mathematical Surveys, No. 15, Amer. Math. Soc., Rhode Island, 1977. MR 56:12216
5. J. Dixmier, C*-Algebras, North-Holland, New York, 1977. MR 56:16388
6. P. Eymard, L'algèbre de Fourier d'un groupe localement compact, Bull. Soc. Math. France 92 (1964), 181-236. MR 37:4208
7. C. Herz, Harmonie synthesis for subgroups, Ann. Inst. Fourier (Grenoble) 23 (1973), 91-123. MR 50:7956
8. A. T. Lau and A. Ulger, Some geometric properties on the Fourier and Fourier-Stieltjes algebras of locally compact groups, Arens regularity and related problems, Trans. Amer. Math. Soc. 337 (1993), 321-359. MR 93g:22007
9. p(G), Can. J. Math. 48 (6) (1996), 1273-1285. MR 98g:43003
10. _, Decomposition of B(G), to appear in Trans. Amer. Math. Soc.. CMP 98:09
11. G. J. Murphy, C*-algebra and operator theory, Academic Press, San Diego, 1990. MR 91m:46084
12. T. W. Palmer, Classes of nonabelian, noncompact, locally compact groups. Rocky Mountain J. of Math. 8 (1973), 683-741. MR 81j:22003
13. K. Taylor, The type structure of the regular representation of a locally compact group, Math. Ann. 222 (6) (1976), 211-224. MR 54:12965
14. _, Geometry of the Fourier algebras and locally compact groups with atomic unitary representations, Math. Ann. 262 (1983), 183-190. MR 84h:43020