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

Published online by Cambridge University Press:  20 January 2009

G. J. O. Jameson
G. J. O. Jameson
Affiliation:
Department of Mathematics, Lancaster University, Lancaster LA1 4YF
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Abstract

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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.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 37 , Issue 3 , October 1994 , pp. 521 - 537
Copyright
Copyright © Edinburgh Mathematical Society 1994

References

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