Grothendieck's Constant
Let A be an 
Real Square Matrix and let 
and 
be real numbers with
. Then Grothendieck showed that there exists a constant 
independent of both A and 
satisfying
 | (1) |
and have a norm 
in any Hilbert Space. The Grothendieck constant is the smallestReal Number for which this inequality has been proven. Krivine (1977) showed that | (2) |
 | (3) |
References
Krivine, J. L. ``Sur la constante de Grothendieck.'' C. R. A. S. 284, 8, 1977.
Le Lionnais, F. Les nombres remarquables. Paris: Hermann, p. 42, 1983.
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