Abstract
Classes of homogeneous polynomials between Banach spaces have been studied in the last three decades from the perspective of the stability with respect to the composition of a homogeneous polynomial with linear operators. In an attempt to explore the underlying nonlinearity in a more consistent way and to bring the subject closer to its roots in Complex Analysis – and, also, taking into account recent results in the field – in this paper we propose the study of classes of homogeneous polynomials that are stable under the composition with homogeneous polynomials.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have