On the structure of positive maps between matrix algebras

• Autorzy: Władysław A. Majewski , Marcin Marciniak
• Języki publikacji: EN

Abstrakty

EN

The structure of the set of positive unital maps between M₂(ℂ) and Mₙ(ℂ) (n ≥ 3) is investigated. We proceed with the study of the "quantized" Choi matrix thus extending the methods of our previous paper [MM2]. In particular, we examine the quantized version of Størmer's extremality condition. Maps fulfilling this condition are characterized. To illustrate our approach, a careful analysis of Tang's maps is given.

Kategorie tematyczne

• 47B65: Positive operators and order-bounded operators
• 47L07: Convex sets and cones of operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2007
• Tom: 78
• Numer: 1
• Strony: 249-263

Daty

wydano

2007

Twórcy

autor

Władysław A. Majewski

• Institute of Theoretical Physics and Astrophysics, Gdańsk University, Wita Stwosza 57, 80-952 Gdańsk, Poland

autor

Marcin Marciniak

• Institute of Theoretical Physics and Astrophysics, Gdańsk University, Wita Stwosza 57, 80-952 Gdańsk, Poland

Identyfikatory

DOI

10.4064/bc78-0-18