Departamento de Matemática Aplicada, E.T.S. Arquitectura, Universidad Politécnica de Valencia, E-46071 Valencia, Spain
Abstract:
Contrary to the case of polynomials on Banach spaces, in which it is known that no hypercyclic homogeneous polynomial of degree exists on any Banach space, we construct for each a chaotic -homogeneous polynomial on the Fréchet space .