On Erb’s uncertainty principle
Volume 232 / 2016
Studia Mathematica 232 (2016), 7-17
MSC: Primary 47A12, 42C02; Secondary 47B38, 42A52.
DOI: 10.4064/sm8241-3-2016
Published online: 18 April 2016
Abstract
We improve a result of Erb, concerning an uncertainty principle for orthogonal polynomials. The proof uses numerical range and a decomposition of some multiplication operators as a difference of orthogonal projections.