Beltrán Meneu, María José; Bonet Solves, José Antonio; Fernández, Carmen(American Institute of Mathematical Sciences (AIMS), 2015-02)
We study the integration operator, the differentiation operator
and more general differential operators on radial Fr´echet or (LB) H¨ormander
algebras of entire functions. We analyze when these operators are power
bounded, ...
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 ...
Bonet Solves, José Antonio(Oxford University Press (OUP), 2015-06)
We investigate the spectrum of the Volterra operator Vg with symbol an entire
function g, when it acts on weighted Banach spaces H∞
v
(C) of entire functions with
sup-norms and when it acts on Hörmander algebras ...