ACTA issues

## Positive linear maps on Hilbert space operators and noncommutative $L_p$ spaces

Jean-Christophe Bourin, Jingjing Shao

Acta Sci. Math. (Szeged) 87:1-2(2021), 281-292
421/2020

 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 $\Phi$ on a von Neumann algebra ${\mathcal {M}}$ such that $\Phi (X)$ is unbounded for all nonzero $X\in {\mathcal {M}}$. DOI: 10.14232/actasm-020-671-1 AMS Subject Classification (1991): 47A63, 46L52 Keyword(s): positive linear maps, operator inequalities, $\tau$-measurable operators received 21.4.2020, revised 6.1.2021, accepted 13.1.2021. (Registered under 421/2020.)