Positive linear maps on Hilbert space operators and noncommutative Lp spaces

2020/04/22 by Bourin, Jean-Christophe, Shao, Jingjing
#FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2004.10751

Abstract

We extend some inequalities for normal matrices and positive linear maps related to the Russo-Dye theorem. The results cover the case of some positive linear maps on a von Neumann algebra mapping any nonzero operator to an unbounded operator.

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