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Facial Structures for the Positive Linear Maps Between Matrix Algebras

Published online by Cambridge University Press:  20 November 2018

Seung-Hyeok Kye
Seung-Hyeok Kye*
Affiliation:
Department of Mathematics, Seoul National University, Seoul 151-742, Korea, e-mail:kye@math.snu.ac.kr
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Abstract

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Let denote the convex set of all positive linear maps from the matrix algebra Mn(ℂ) into itself. We construct a join homomorphism from the complete lattice of all faces of into the complete lattice of all join homomorphisms between the lattice of all subspaces of ℂn . We also characterize all maximal faces of .

Keywords

46L0506B99
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 39 , Issue 1 , 01 March 1996 , pp. 74 - 82
Copyright
Copyright © Canadian Mathematical Society 1995

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