Local polynomials are polynomials
Volume 115 / 1995
Studia Mathematica 115 (1995), 105-107
DOI: 10.4064/sm-115-2-105-107
Abstract
We prove that a function f is a polynomial if G◦f is a polynomial for every bounded linear functional G. We also show that an operator-valued function is a polynomial if it is locally a polynomial.
