Quasi-states and the Poisson bracket on surfaces
Symplectic Geometry
2007-05-23 v1 Functional Analysis
Abstract
We present a convexity-type result concerning simple quasi-states on closed manifolds. As a corollary, an inequality emerges which relates the Poisson bracket and the measure of non-additivity of a simple quasi-state on a closed surface equipped with an area form. In addition, we prove that the uniform norm of the Poisson bracket of two functions on a surface is stable from below under C^0-perturbations.
Cite
@article{arxiv.math/0703121,
title = {Quasi-states and the Poisson bracket on surfaces},
author = {Frol Zapolsky},
journal= {arXiv preprint arXiv:math/0703121},
year = {2007}
}
Comments
14 pages