A Class of Extremal Positive Maps in $3 \times 3$ Matrix Algebras

Hiroyuki Osaka

doi:10.2977/prims/1195167934

JournalsprimsVol. 28, No. 5pp. 747–756

A Class of Extremal Positive Maps in $3 \times 3$ Matrix Algebras

Hiroyuki Osaka
Tokyo Metropolitan University, Japan

$A Class of Extremal Positive Maps in $3 \times 3$ Matrix Algebras cover$

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Abstract

We shall provide a large class of extremal positive maps in $M_{3} (C)$ which are neither 2-positive nor 2-copositive and study the algebraic structure of the set of all positive linear maps in $M_{3} (C)$ .

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Hiroyuki Osaka, A Class of Extremal Positive Maps in $3 \times 3$ Matrix Algebras. Publ. Res. Inst. Math. Sci. 28 (1992), no. 5, pp. 747–756

DOI 10.2977/PRIMS/1195167934