Santiago Muro

Holomorphic functions and polynomial ideals on Banach spaces

Given

Envelopes of holomorphy and extension of functions of bounded type

{{\mathfrak{A}}}

Hypercyclic convolution operators on Frechet spaces of analytic functions

a multiplicative sequence of polynomial ideals, we consider the associated algebra of holomorphic functions of bounded type,

Funciones holomorfas de tipo acotado e ideales de polinomios homogéneos en espacios de Banach

{H_{b{\mathfrak{A}}}(E)}

On algebras of holomorphic functions of a given type

. We prove that, under very natural conditions satisfied by many usual classes of polynomials, the spectrum