Completely positive linear maps in a concept of majorization on certain operator algebras
Peter M. Alberti
Source: Publ. Res. Inst. Math. Sci. Volume 22, Number 6 (1986), 1173-1189.
Primary Subjects: 46L30
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.prims/1195177068
Mathematical Reviews number (MathSciNet):
MR880003
Zentralblatt MATH identifier:
0624.46039
Digital Object Identifier: doi:10.2977/prims/1195177068
References
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0534.15014
[12] Alberti, P. M. and Uhlmann, Existence and Density Theorems for Stochastic Maps on Commutative C*-algebras, Math. Nachr., 97 (1980), 279-295.
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MR600842
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[13] Alberti, P. M., A Note on Stochastic Operators on L1 -spaces and Convex Functions, J. Math. Anal. Appl., to appear.
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MR929962
Zentralblatt MATH:
0644.60002
[14] Alberti, P. M., Uhlmann, A., Dissipative Motion in State Spaces, Teubner-Texte zur Mathematik, Bd. 33, Teubner-Verlag, Leipzig, (1981).
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MR655411
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[15] Ando, T., Majorization, Doubly Stochastic Matrices and Comparison of Eigenvalues, Sapporo, (1982).
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[16] Connes, A., Classification of injective factors, Ann. Math., 104 (1976), 73-115.
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[17] Haagerup, U., A New Proof of the Equivalence of Injectivity and Hyperfiniteness for Factors on a Separable Hilbertspace, Journ. Funct. Analysis, 62, No. 2 (1985), 160-200.
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MR791846
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0586.46047
[18] Alberti, P.M., Completely positive stochastic linear maps over AFD-factors and unitary making on generating U.H.F.-subalgebras, preprint (1985), Publ. RIMS Kyoto Univ., 22.12.86 (1986).
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0623.46026
[19] Alberti, P.M., On the simultaneous transformation of density operators by means of a c.p., unity preserving linear map, Publ. RIMS Kyoto Univ., 21, No. 3 (1985), 619-644.
Mathematical Reviews (MathSciNet):
MR814671
Zentralblatt MATH:
0589.46053
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