摘要

As the reversed version of usual symmetric norms, we introduce the notion of symmetric anti-norms parallel to center dot parallel to 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 parallel to psi(A +B) parallel to! >= parallel to psi(A) parallel to!+ parallel to (B)psi parallel to! for a wide class of functions psi.

  • 出版日期2015-6