We derive an uncertainty principle for Lipschitz maps acting on subsets of Banach spaces. We show that this nonlinear uncertainty principle reduces to the Heisenberg-Robertson-Schrodinger uncertainty principle for linear operators acting on Hilbert spaces.

翻译：我们推导了作用于巴拿赫空间子集上的利普希茨映射的不确定性原理。我们证明该非线性不确定性原理可简化为作用于希尔伯特空间上的线性算子的海森堡-罗伯逊-施罗丁格不确定性原理。