Operator system structures on ordered spaces

Proceedings of the London Mathematical Society

Volumn 102, Issue 1, 2011, Pages 25-49

  Paulsen, Vern I ^a   Todorov, Ivan G ^b   Tomforde, Mark ^a  

^a University of Houston   (United States)

^b QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78651291263     PISSN: 00246115     EISSN: 1460244X     Source Type: Journal    
DOI: 10.1112/plms/pdq011     Document Type: Article

References (12)

1. E. M. Alfsen, Compact convex sets and boundary integrals, Ergebnisse der Mathematik und ihrer Grenzgebiete 57 (Springer, New York, 1971).
2. W. Arveson, 'Quantum channels that preserve entanglement', Math. Ann. 343 (2009) 757-771.
3. M. D. Choi and E. G. Effros, 'Injectivity and operator spaces', J. Funct. Anal. 24 (1977) 156-209.
4. R. G. Douglas and V. I. Paulsen, 'Completely bounded maps and hypo-Dirichlet algebras', Acta Sci. Math. 50 (1986) 143-157.
5. A. S. Holevo, 'Coding theorems for quantum channels', Russian Math. Surveys 53 (1999) 1295-1331.
6. M. Horodecki, P. W. Shor and M. B. Ruskai, 'Entanglement breaking channels', Rev. Math. Phys. 15 (2003) 629-641.
7. R. V. Kadison, 'A representation theory for commutative topological algebra', Mem. Amer. Math. Soc. 7 (1951).
8. V. I. Paulsen, 'The maximal operator space of a normed space', Proc. Edinb. Math. Soc. 39 (1996) 309-323.
9. V. I. Paulsen, Completely bounded maps and operator algebras, (Cambridge University Press, Cambridge, 2002).
10. V. I. Paulsen and M. Tomforde, 'Vector spaces with an order unit', Indiana Univ. Math. J. 58 (2009) 1319-1359.
11. Z. J. Ruan, 'Subspaces of C*-algebras', J. Funct. Anal. 76 (1998) 217-230.
12. E. Størmer, 'Separable states and positive maps', J. Funct. Anal. 254 (2008) 2303-2312.