Sharpness of Zapolsky inequality for quasi-states and Poisson brackets

Abstract

Zapolsky inequality gives a lower bound for the L1 norm of the Poisson bracket of a pair of C1 functions on the two-dimensional sphere by means of quasi-states. Here we show that this lower bound is sharp.

References in corpus (1)

• An "anti-Gleason" phenomenon and simultaneous measurements in classical mechanics