Abstract
The fundamental constant of Grothendieck's inequality, defined below, was shown by Grothendieck to be less than sinh π/2=2.301+. We improve the bound slightly, and show that for the positive definite case π/2 suffices.
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References
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Partially supported by Grant #901-052, Gustavus Adolphus College Research Fund, and a National Science Foundation Summer Traineeship grant. This is based on part of the author's Ph.D. dissertation, University of Minnesota, under Prof. C.A. McCarthy. The author is grateful for Prof. McCarthy's assistance.
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Rietz, R.E. A proof of the Grothendieck inequality. Israel J. Math. 19, 271–276 (1974). https://doi.org/10.1007/BF02757725
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DOI: https://doi.org/10.1007/BF02757725