Positive projections onto spin factors

Linear Algebra and Its Applications

Volumn 348, Issue 1-3, 2002, Pages 105-113

  Ha, Kil Chan ^a  

^a Sejong University   (South Korea)

Author keywords

Atomic map; Positive projection; Spin factor

Indexed keywords

POSITIVE MAPS; POSITIVE PROJECTION; SPIN FACTOR;

LINEAR ALGEBRA;

MATHEMATICAL TECHNIQUES;

EID: 31244437352     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(01)00567-5     Document Type: Article

References (10)

1. E. Effros, E. Størmer, Positive projections and Jordan structure in operator algebras, Math. Scand. 45 (1979) 127-138.
2. M.-H. Eom, S.-H. Kye, Duality for positive linear maps in matrix algebras, Math. Scand. 86 (2000) 130-142.
3. K.-C. Ha, Atomic Positive Linear Maps in Matrix Algebras, vol. 134, Publ. RIMS, Kyoto University, 1998, pp. 591-599.
4. H. Hanche-Olsen, E. Størmer, Jordan Operator Algebras, Pitman, London, 1984.
5. S.-H. Kye, Boundaries of the cone of positive linear maps and its subcones in matrix algebras, J. Korean Math. Soc. 33 (1996) 669-677.
6. S.-H. Kye, On the convex set of all completely positive linear maps in matrix algebras, Math. Proc. Cambridge Philos. Soc. 122 (1997) 45-54.
7. A.G. Robertson, Automorphisms of spin factors and the decomposition of positive maps, Quart. J. Math. Oxford Ser. (2) 34 (1983) 87-96.
8. A.G. Robertson, Decomposition of positive projections onto Jordan algebras, J. London Math. Soc. 32 (2) (1985) 133-140.
9. E. Størmer, Decomposition of positive projections on C-algebras, Math. Ann. 247 (1980) 21-41.
10. S.L. Woronowicz, Positive maps of low dimensional matrix algebras, Rep. Math. Phys. 10 (1976) 165-183.