@article{6e82430268d34150a92db9810e6fe143,
title = "C 0-rigidity of the double Poisson bracket",
abstract = "This paper is devoted to function theory on symplectic manifolds. We study a natural class of functionals involving the double Poisson brackets from the viewpoint of their robustness properties with respect to small perturbations in the uniform norm. We observe a hierarchy of such robustness properties. The methods involve Hofer's geometry on the symplectic side and Landau-Hadamard- Kolmogorov inequalities on the function-theoretic side.",
author = "Michael Entov and Leonid Polterovich",
note = "Funding Information: We thank Vincent Humiliere for a stimulating correspondence. We also thank Lev Buhovsky for numerous useful discussions, Misha Sodin for illuminating consultations on the Landau–Hadamard– Kolmogorov inequalities and the anonymous referee for helpful comments. Entov and Polterovich were partially supported by the Israel Science Foundation grant # 881/06 and # 509/07, respectively.",
year = "2009",
doi = "10.1093/imrn/rnn162",
language = "אנגלית",
volume = "2009",
pages = "1134--1158",
journal = "International Mathematics Research Notices",
issn = "1073-7928",
publisher = "Oxford University Press",
number = "6",
}