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., Theorem D, p. 60., Corollary 2.3, p. 410. If is a bounded, linear mapping of one C*-algebra into another C*-algebra , then
for each finite set of elements of .
See also Haagerup-Pisier inequality Christensen-Haagerup Principle
Notes
References . .