Positive groups on ℋn are completely positive

Linear Algebra and Its Applications

Volumn 393, Issue 1-3, 2004, Pages 127-137

  Damm, Tobias ^a  

^a TECHNICAL UNIVERSITY OF BRAUNSCHWEIG   (Germany)

Author keywords

Completely positive operators; Cone of positive definite matrices; Lyapunov operator; Positive groups

Indexed keywords

LYAPUNOV METHODS; MATHEMATICAL OPERATORS; SET THEORY; THEOREM PROVING; VECTORS;

COMPLETELY POSITIVE OPERATORS; CONE OF POSITIVE DEFINITE MATRICES; LYAPUNOV OPERATORS; POSITIVE GROUPS;

MATRIX ALGEBRA;

EID: 7444250229     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2003.12.045     Document Type: Article

References (11)

1. Ara P., Mathieu M. Local Multipliers of. C* -Algebras:2003;Springer-Verlag.
2. Berman A., Neumann M., Stern R.J. Nonnegative Matrices in Dynamic Systems. 1989;John Wiley & Sons, New York.
3. Cho S.J., Kye S.-H., Lee S.G. Generalized Choi maps in three-dimensional matrix algebras. Linear Algebra Appl. 171:1992;212-224.
4. Choi M.-D. Positive semidefinite biquadratic forms. Linear Algebra Appl. 4:1975;95-100.
5. Elsner L. Quasimonotonie und Ungleichungen in halbgeordneten Räumen. Linear Algebra Appl. 8:1974;249-261.
6. Gritzmann P., Klee V., Tam B.-S. Cross-positive matrices revisited. Linear Algebra Appl. 223/224:1995;285-305.
7. Horn R.A., Johnson C.R. Topics in Matrix Analysis. 1991;Cambridge University Press, Cambridge.
8. Krasnosel'skij M.A., Lifshits J.A., Sobolev A.V. Positive Linear Systems - The Method of Positive Operators. Sigma Series in Applied Mathematics, vol. 5. 1989;Heldermann Verlag, Berlin.
9. Lindblad G. On the generators of quantum dynamical semigroups. Commun. Math. Phys. 48:1976;119-130.
10. Schneider H., Vidyasagar M. Cross-positive matrices. SIAM J. Numer. Anal. 7(4):1970;508-519.
11. Stern R.J., Wolkowitz H. Exponential nonnegativity on the ice-cream cone. SIAM J. Matrix Anal. Appl. 12:1994;755-778.