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Positive Linear Maps on C*-Algebras
Open accessAbstract
The objective of this paper is to give some concrete distinctions between positive linear maps and completely positive linear maps on C*-algebras of operators. Herein, C*-algebras possess an identity and are written in German type . Capital letters A, B, C stand for operators, script letters for vector spaces, small letters x, y, z for vectors. Capital Greek letters Φ, Ψ stand for linear maps on C*-algebras, small Greek letters α, β, γ for complex numbers. We denote by the collection of all n × n complex matrices. () = ⊗ is the C*-algebra of n × n matrices over .
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Research works printed but not linked: 5
- Berberian, 1962, Proc. Amer. Math. Soc., Approximate proper vectors, 13, 111
- Arveson, 1969, Acta Math., Subalgebras of C*-algebras, 123, 141
- Stinespring, 1955, Proc. Amer. Math. Soc., Positive functions on C*-algebras, 6, 211
- Halmos, 1967, A Hilbert space problem book
- Stormer, 1963, Acta Math., Positive linear maps of operator algebras, 110, 233
Cited by
Horodecki, R., Horodecki, P., Horodecki, M., & Horodecki, K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.865 · Cited by 10,118
On the generators of quantum dynamical semigroups
Lindblad, G. (1976) · Communications in Mathematical Physics · doi:10.1007/bf01608499 · Cited by 7,548
Completely positive dynamical semigroups of N -level systems
Gorini, V., Kossakowski, A., & Sudarshan, E. C. G. (1976) · Journal of Mathematical Physics · doi:10.1063/1.522979 · Cited by 3,998
Completely positive linear maps on complex matrices
Choi, M.-D. (1975) · Linear Algebra and its Applications · doi:10.1016/0024-3795(75)90075-0 · Cited by 2,659
Self-citationProperties of quantum Markovian master equations
Gorini, V., Frigerio, A., Verri, M., Kossakowski, A., & Sudarshan, E. C. G. (1978) · Reports on Mathematical Physics · doi:10.1016/0034-4877(78)90050-2 · Cited by 468
Metadata
- Authors
- Choi, M.-D.
- Venue
- Canadian Journal of Mathematics
- Publisher
- Canadian Mathematical Society
- Published
- 1972-06
- Volume
- 24
- Issue
- 3
- Pages
- 520-529
- ISSN
- 0008-414X (ISSN-L)
- 1496-4279
- OpenAlex
- W2588911661
- Cited by
- 240
- References
- 0
- FWCI
- 0.94
- Type
- journal article
- Language
- en
- Open access
- bronze
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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