Proceedings of the Edinburgh Mathematical Society (Series 2)

Research Article

A specific form of Grothendieck's inequality for the two-dimensional case, with applications to C*-algebras

G. J. O. Jamesona1

a1 Department of Mathematics, Lancaster University, Lancaster LA1 4YF


We characterize bilinear forms V on S0013091500018988_inline1 such that V(e, e) = xs2016Vxs2016 = 1 in terms of their matrices. For such V we prove that |V(x, y)|2≦φ(|x|2)ψ(|y|2) for all x, y, where φ(x)= V(x, e), ψ(y) = V(e, y). Some other properties of such forms are given.

(Received March 25 1993)