A specific form of Grothendieck inequality for the 2-dimensional case, with applications to c-asterisk algebras.

Jameson, G. J. O. (1994) A specific form of Grothendieck inequality for the 2-dimensional case, with applications to c-asterisk algebras. Proceedings of the Edinburgh Mathematical Society, 37 (3). pp. 521-537. ISSN 0013-0915

Preview

PDF (download2.pdf)
download2.pdf
Download (527kB)

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.