De la Rosa Penilla, Manuel; Frerick, Leonhard; Grivaux, Sophie; Peris Manguillot, Alfredo(Springer Verlag (Germany), 2012-08)
We prove that if X is any complex separable infinite-dimensional Banach space with an unconditional Schauder decomposition, X supports an operator T which is chaotic and frequently hypercyclic. This result is extended to ...
Beltrán Meneu, María José(Universitat Politècnica de València, 2014-03-24)
The Ph.D. Thesis ¿Operators on weighted spaces of holomorphic functions¿ presented
here treats different areas of functional analysis such as spaces of holomorphic
functions, infinite dimensional holomorphy and dynamics ...
Given a decreasing family of continuous weights on a Banach space X, we consider the weighted inductive limits of spaces of entire functions VH(X) and VH0(X). Motivated by recent research by D. Carando and P. Sevilla-Peris ...