Abstract
Recently in symplectic geometry there arose an interest in bounding various functionals on spaces of matrices. It appears that Grothendieck’s theorem about factorization is a useful tool for proving such bounds. In this note we present two such applications.
Résumé
Un problème d’intérêt recent en géométrie symplectique porte sur l’existence de bornes de certaines fonctionnelles définies sur des espaces matriciels. Le théorème de factorisation de Grothendieck s’avère utile afin d’établir de telles bornes. Nous en présentons deux exemples dans cet article.
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References
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Acknowledgements
The authors are grateful to the Creator for giving them the understanding presented in this paper. We also thank Lev Buhovsky for useful discussions and comments. Shira Tanny extends her special thanks to Lev Buhovsky and Leonid Polterovich for their mentorship and guidance. Finally, we thank Jordan Payette for useful comments. S.T. was partially supported by ISF Grant 2026/17 and by the Levtzion Scholarship.
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Gluskin, E., Tanny, S. Applications of Grothendieck’s inequality to linear symplectic geometry. Ann. Math. Québec 45, 239–247 (2021). https://doi.org/10.1007/s40316-020-00143-5
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DOI: https://doi.org/10.1007/s40316-020-00143-5