Functions with image in a strip
arXiv:2406.02901 · doi:10.1142/S0219025724400083
Abstract
We consider holomorphic functions on the unit disc whose images are contained in a strip of the complex plane. Under an additional condition, such functions are constants. We also consider appropriate operator valued versions. Applications are found to the theory of semigroups.
To appear in Infinite Dimensional Analysis, Quantum Probability and Related Topics