Abstract
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 .
Keywords
MathematicsLinear operatorsLinear mapAlgebra over a fieldType (biology)Identity (music)Pure mathematicsMathematical analysis
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Publication Info
- Year
- 1972
- Type
- article
- Volume
- 24
- Issue
- 3
- Pages
- 520-529
- Citations
- 234
- Access
- Closed
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Cite This
Man-Duen Choi
(1972).
Positive Linear Maps on C<sup>*</sup>-Algebras.
Canadian Journal of Mathematics
, 24
(3)
, 520-529.
https://doi.org/10.4153/cjm-1972-044-5
Identifiers
- DOI
- 10.4153/cjm-1972-044-5