Extreme points in triangular uhf algebras

Transactions of the American Mathematical Society

Volumn 349, Issue 8, 1997, Pages 3391-3400

  Hudson, Timothy D ^a,b   Katsoulis, Elias G ^a   Larson, David R ^a  

^a EAST CAROLINA UNIVERSITY   (United States)

^b TEXAS A AND M UNIVERSITY   (United States)

Author keywords

Semisimple; Strongly extreme point; Triangular operator algebra; Uhf algebra

Indexed keywords

EID: 21744432615     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-97-01882-5     Document Type: Article

References (22)

1. M. Anoussis and E.G. Katsoulis, Finite rank operators and the geometric structure of nest algebras, preprint, 1995.
2. _, A non-selfadjoint Russo-Dye theorem, Math. Ann. 304 (1996), 685-699. CMP 96:10
3. _, Compact operators and the geometric structure of C-algebras, Proc. Amer. Math. Soc. 124 (199G), 2115-2122. MR 96i:46068
4. J. Arazy and B. Solei, Isometries of non-self-adjoint operator algebras, J. Funct. Anal. 90 (1990), 284-305. MR 91c:47085
5. J.A. Cima and J. Thomson, On strong extreme points in Hp, Duke Math. J. 40 (1973), 529-532. MR 47:7440
6. K.R. Davidson, T.G. Feeman, and A.L. Shields, Extreme points in quotients of operator algebras, Topics in operator theory (I. Gohberg, ed.), Birkhäuser Boston, 1988, pp. 67-91. MR 89k:47066
7. M.M. Day, Normed linear spaces, third ed., Springer-Verlag, New York, 1973. MR 49:9588
8. A.P. Donsig, Semisimple triangular AF algebras, J. Funct. Anal. Ill (1993), 323-349. MR 94b:46084
9. A.P. Donsig and T.D. Hudson, .The lattice of ideals of a triangular AF algebra, J. Funct. Anal. 138 (1996), 1-39. CMP 96:13
10. A. Hopemvasser and J.R. Peters, Full nest algebras, Illinois J. Math. 38 (1994), 501-520. MR 95c:47047
11. T.D. Hudson, Ideals in triangular AF algebras, Proc. London Math. Soc. (3) 69 (1994), 345-376. MR 95d:46060
12. H. Hudzik, W. Kurc, and M. Wisla, Strongly extreme points in Orlicz function spaces, J. Math. Anal. Appl. 189 (1995), 651-670. MR 96f:46051
13. R.V. Kadison and J.R. Ringrose, Fundamentals of the theory of operator algebras, vol. II, Pure and Applied Mathematics, no. 100, Academic Press, San Diego, CA, 1986. MR 88d:46106
14. R. McGuigan, Strongly extreme points in Banach spaces, Manuscripta Math. 5 (1971), 113-122. MR 46:7857
15. R.L. Moore and T.T. Trent, Extreme points of certain operator algebras, Indiana Univ. Math. J. 36 (1987), 645-650. MR 89d:47103
16. _, Isometries of nest algebras, J. Funct. Anal. 86 (1989), 180-209. MR 90k:47096
17. P.S. Muhly, C. Qiu, and B. Solei, On isometries of operator algebras, J. Funct. Anal. 119 (1994), 138-170. MR 95a:46080
18. J.R. Peters, Y.T. Poon, and B.H. Wagner, Triangular AF algebras, J. Operator Theory 23 (1990), 81-114. MR 91h:46102
19. S.C. Power, Classification of tensor products of triangular operator algebras, Proc. London Math. Soc. (3) 61 (1990), 571-614. MR 92a:47053
20. _, Limit algebras, Pitman Research Notes in Mathematics, no. 278, Longman Scientific and Technical, London, 1992. MR 94g:46001
21. _, On the Banach space isomorphism type of AF C* -algebras and their triangular subalgebras, Israel J. Math. 94 (1996), 93-109. CMP 96:14
22. A.G. Robertson, A note on the unit ball in C*-algebras, Bull. London Math. Soc. 6 (1974), 333-335. MR 50:8095