Anti-norms on Finite von Neumann Algebras
Jean-Christophe Bourin
Université de Franche-Comté, Besançon, FranceFumio Hiai
Abiko, Japan
![Anti-norms on Finite von Neumann Algebras cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-prims-volume-51-issue-2.png&w=3840&q=90)
Abstract
As the reversed version of usual symmetric norms, we introduce the notion of symmetric anti-norms defined on the positive operators affiliated with a finite von Neumann algebra with a finite normal trace. Related to symmetric anti-norms, we develop majorization theory and superadditivity inequalities of the form for a wide class of functions .
Cite this article
Jean-Christophe Bourin, Fumio Hiai, Anti-norms on Finite von Neumann Algebras. Publ. Res. Inst. Math. Sci. 51 (2015), no. 2, pp. 207–235
DOI 10.4171/PRIMS/153