Beltrán Meneu, María José; Bonet Solves, José Antonio; Fernández Rosell, María Carmen(American Mathematical Society, 2013-08-09)
We study the operators of differentiation and of integration and
the Hardy operator on weighted Banach spaces of entire functions. We estimate
the norm of the operators, study the spectrum, and analyze when they
are ...
Calabuig Rodriguez, Jose Manuel; Lajara, S.; Rodríguez Ruiz, José; Sánchez Pérez, Enrique Alfonso(Polskiej Akademii Nauk, Instytut Matematyczny (Polish Academy of Sciences, Institute of Mathematics), 2014)
We study compactness and related topological properties in the space
L1(m) of a Banach space valued measure m when the natural topologies associated to convergence of vector valued integrals are considered. The resulting ...
Bonet Solves, José Antonio; Galbis, Antonio(Springer-Verlag, 2020-07-27)
[EN] We describe the proper closed invariant subspaces of the integration operator when it acts continuously on countable intersections and countable unions of weighted Banach spaces of holomorphic functions on the unit ...
Okada, S.; Ricker, W. J.; Sánchez Pérez, Enrique Alfonso(Polish Academy od Sciences. Institute of Matematics, 2014)
The spaces L1(m) of all m-integrable (resp. L1w(m) of all scalarly m-integrable) functions for a
vector measure m, taking values in a complex locally convex Hausdorff space X (briefly, lcHs),
are themselves lcHs for the ...
Bonet Solves, José Antonio(John Wiley & Sons, 2020-08)
[EN] Continuity, compactness, the spectrum and ergodic properties of the differentiation operator are investigated, when it acts in the Frechet space of all Dirichlet series that are uniformly convergent in all half-planes ...