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

Abstract

We characterize bilinear forms V on such that V ( e, e ) = ‖ V ‖ = 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.

Locations

• Proceedings of the Edinburgh Mathematical Society - View - PDF