A+ CATEGORY SCIENTIFIC UNIT

Positive linear maps of matrix algebras

Volume 98 / 2012

W. A. Majewski Banach Center Publications 98 (2012), 293-302 MSC: Primary 47B60; Secondary 81Q99, 46M05. DOI: 10.4064/bc98-0-12

Abstract

A characterization of the structure of positive maps is presented. This sheds some more light on the old open problem studied both in Quantum Information and Operator Algebras. Our arguments are based on the concept of exposed points, links between tensor products and mapping spaces and convex analysis.

Authors

  • W. A. MajewskiInstitute of Theoretical Physics and Astrophysics
    Gdańsk University
    Wita Stwosza 57
    80-952 Gdańsk, Poland
    e-mail

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