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Mathematical Proceedings of the Cambridge Philosophical Society
Volumn 122, Issue 1, 1997, Pages 45-54
On the convex set of completely positive linear maps in matrix algebras
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EID: 33748723422     PISSN: 03050041     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0305004196001508     Document Type: Article
Times cited : (14)
References (10)
  • 1
    • 0016522050 scopus 로고
    • Completely positive linear maps on complex matrices
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    • (1975) Linear Alg. Appl. , vol.10 , pp. 285-290
    • Choi, M.-D.1
  • 2
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    • Extremal positive semidefinite forms
    • M.-D. CHOI and T.-T. LAM. Extremal positive semidefinite forms. Math. Ann. 231 (1977), 1-18.
    • (1977) Math. Ann. , vol.231 , pp. 1-18
    • Choi, M.-D.1    Lam, T.-T.2
  • 3
    • 0011277919 scopus 로고
    • Indecomposable extreme positive linear maps in matrix algebras
    • H.-J. KIM and S.-H. KYE. Indecomposable extreme positive linear maps in matrix algebras. Bull. London Math. Soc. 26 (1994), 575-581.
    • (1994) Bull. London Math. Soc. , vol.26 , pp. 575-581
    • Kim, H.-J.1    Kye, S.-H.2
  • 4
    • 85033518080 scopus 로고    scopus 로고
    • Facial structures for positive linear maps between matrix algebras
    • to appear
    • S.-H. KYE. Facial structures for positive linear maps between matrix algebras. Canad. Math. Bull., to appear.
    • Canad. Math. Bull.
    • Kye, S.-H.1
  • 5
    • 85007958744 scopus 로고
    • A class of extremal positive maps in 3 x 3 matrix algebras
    • H. OSAKA. A class of extremal positive maps in 3 x 3 matrix algebras. Publ. RLMS, Kyoto Univ. 28 (1992), 747-756.
    • (1992) Publ. RLMS, Kyoto Univ. , vol.28 , pp. 747-756
    • Osaka, H.1
  • 6
    • 0011360420 scopus 로고
    • Positive projections on C*-algebras and extremal positive maps
    • A. G. ROBERTSON. Positive projections on C*-algebras and extremal positive maps. J. London Math. Soc. (2) 32 (1985), 133-140.
    • (1985) J. London Math. Soc. , vol.32 , Issue.2 , pp. 133-140
    • Robertson, A.G.1
  • 7
    • 0013539557 scopus 로고
    • Convex analysis
    • Princeton Univ. Press
    • R. T. ROCKAFELLAR. Convex analysis (Princeton Math. Ser. 28, Princeton Univ. Press, 1972).
    • (1972) Princeton Math. Ser. , vol.28
    • Rockafellar, R.T.1
  • 8
    • 0011328350 scopus 로고
    • The geometric structure of generalized state spaces
    • R. R. SMITH and J. D. WARD. The geometric structure of generalized state spaces. J. Funct. Anal. 40 (1981), 170-184.
    • (1981) J. Funct. Anal. , vol.40 , pp. 170-184
    • Smith, R.R.1    Ward, J.D.2
  • 9
    • 0000896652 scopus 로고
    • Positive linear maps of operator algebras
    • E. STØRMER. Positive linear maps of operator algebras. Acta Math. 110 (1963), 233-278.
    • (1963) Acta Math. , vol.110 , pp. 233-278
    • Størmer, E.1
  • 10
    • 0000260392 scopus 로고
    • Positive maps of low dimensional matrix algebras
    • S. L. WORONOWICZ. Positive maps of low dimensional matrix algebras. Rep. Math. Phys. 10 (1976), 165-183.
    • (1976) Rep. Math. Phys. , vol.10 , pp. 165-183
    • Woronowicz, S.L.1

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