[EN] The Ph.D. Thesis "Atomic decompositions and frames in Fréchet spaces and their duals" presented here treats different areas of functional analysis with applications.
Schauder frames are used to represent an arbitrary ...
Conejero, J. Alberto; Kostic, Marco; Miana Sanz, Pedro Jose; Murillo Arcila, Marina(American Institute of Mathematical Sciences (AIMS), 2016-09)
The existence of distributional chaos and distributional irregular vectors has been recently considered in the study of linear dynamics of operators and C-0-semigroups. In this paper we extend some previous results on both ...
Bonet Solves, José Antonio; Wright, J.D. Maitland(Mathematical Society of Serbia, 2012-12)
[EN] In this note we show that weakly compact operators from a Banach space X into
a complete (LB)-space E need not factorize through a reflexive Banach space. If E is a Fréchet space, then weakly compact operators from ...
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 ...
Bonet Solves, José Antonio; de Pagter, Ben; Ricker, Werner Joseph(2011-09-26)
Connections between (positive) mean ergodic operators acting in Banach lattices and properties of the underlying lattice itself are well understood (see the works of Emel'yanov, Wolff and Zaharopol). For Frechet lattices ...
Albanese, Angela Anna; Bonet Solves, José Antonio; Ricker, Werner Joseph(Taylor & Francis: STM, Behavioural Science and Public Health Titles, 2013-05)
For C-0-semigroups of continuous linear operators acting in a Banach space criteria are available which are equivalent to uniform mean ergodicity of the semigroup, meaning the existence of the limit (in the operator norm) ...
[EN] We investigate the surjectivity of the Borel map in the quasianalytic setting for
classes of ultradifferentiable functions defined in terms of the growth of the Fourier-Laplace
transform. We deal with both the Roumieu ...
Bonet Solves, José Antonio; FERNANDEZ, C.; GALBIS, A.; Ribera Puchades, Juan Miguel(Elsevier, 2014-02-15)
We study Schauder frames in Fréchet spaces and their duals, as well as perturbation
results. We define shrinking and boundedly complete Schauder frames on a locally convex
space, study the duality of these two concepts ...
Bonet Solves, José Antonio; Fernández, Carmen(Università del Salento, 2011)
[EN] We survey different developments on Fréchet, (LB)-spaces and (LF)-spaces of
Moscatelli type, their properties, their applications to find counterexamples to different open problems, relevant examples of smooth function ...
Frerick, Leonhard; Jorda Mora, Enrique; Kalmes, Thomas; Wengenroth, Jochen(Elsevier, 2014-04-01)
We prove that for a strongly continuous semigroup T on the Frechet space omega of all scalar sequences, its generator is a continuous linear operator A is an element of L(omega) and that, for all x is an element of omega ...
Albanese, Angela; Bonet Solves, José Antonio; Ricker, Werner J.(Elsevier, 2018)
[EN] The Banach spaces ces(p), 1 < p < infinity, were intensively studied by G. Bennett and others. The largest solid Banach lattice in C-N which contains l(p) and which the Cesaro operator C : C-N -> C-N maps into l(P) ...