Pisier–Ringrose inequality


In mathematics, Pisier–Ringrose inequality is an inequality in the theory of C*-algebras which was proved by Gilles Pisier in 1978 affirming a conjecture of John Ringrose. It is an extension of the Grothendieck inequality.

Statement

Theorem. If is a bounded, linear mapping of one C*-algebra into another C*-algebra, then
for each finite set of elements of.