Grothendieck’s Inequality and the Grothendieck-Lindenstrauss-Pelczynski Cycle of Ideas

1984 ◽  
pp. 173-191
Author(s):  
Joseph Diestel
Keyword(s):  
Grothendieck’S Inequality

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

1994 ◽  
Vol 37 (3) ◽  
pp. 521-537 ◽  
Author(s):  
G. J. O. Jameson
Keyword(s):  
Specific Form ◽  
Dimensional Case ◽  
Bilinear Forms ◽  
Two Dimensional ◽  
C Algebras ◽  
Grothendieck’S Inequality

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.

Approximating the Cut-Norm via Grothendieck's Inequality

2006 ◽  
Vol 35 (4) ◽  
pp. 787-803 ◽  
Author(s):  
Noga Alon ◽  
Assaf Naor
Keyword(s):  
Grothendieck’S Inequality
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