Polynomial inequalities in Banach spaces
Volume 107 / 2015
Banach Center Publications 107 (2015), 23-42
MSC: Primary 41A17; Secondary 46B20.
DOI: 10.4064/bc107-0-3
Abstract
We point out relations between the injective complexification of a real Banach space and polynomial inequalities. In particular we prove a generalization of a classical Szegő inequality to the case of polynomial mappings between Banach spaces. As an application we observe a complex version of known Bernstein–Szegő type inequalities.
