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Positive Linear Maps on C*-Algebras

Published online by Cambridge University Press:  20 November 2018

Man-Duen Choi
Man-Duen Choi*
Affiliation:
University of Toronto, Toronto, Ontario
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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 .

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 24 , Issue 3 , June 1972 , pp. 520 - 529
Copyright
Copyright © Canadian Mathematical Society 1972

References

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