Bonet Solves, José Antonio; Taskinen, Jari(Wiley-VCH Verlag, 2015-08)
We characterize boundedness, compactness and weak compactness of Volterra operators Vg acting between
different weighted Banach spaces H∞
v (C) of entire functions with sup-norms in terms of the symbol g; thus
we ...
Bonet Solves, José Antonio; Vukotic, Dragan(Springer-Verlag, 2017-09)
[EN] Given a non-negative weight v, not necessarily bounded or strictly positive, defined on a domain G in the complex plane, we consider the weighted space H-v(infinity) (G)of all holomorphic functions on G such that the ...
Bonet Solves, José Antonio; Domanski, Pawel(Springer Verlag (Germany), 2011-09)
We characterize those composition operators defined on spaces of holomorphic functions of several variables which are power bounded, i.e. the orbits of all the elements are bounded. This condition is equivalent to the ...
Bonet Solves, José Antonio; DOMANSKI, PAWEL(Springer-Verlag, 2017-01)
[EN] In this paper the spectrum of composition operators on the space of real analytic functions is investigated. In some cases it is completely determined while in some other cases it is only estimated.
Bonet Solves, José Antonio; Domanski, Pawel(Springer Verlag (Germany), 2015-04)
We obtain full description of eigenvalues and eigenvectors
of composition operators Cϕ : A (R) → A (R) for a real analytic self
map ϕ : R → R as well as an isomorphic description of corresponding
eigenspaces. We completely ...
The abscissas of convergence, uniform convergence and absolute
convergence of vector valued Dirichlet series with respect
to the original topology and with respect to the weak topology
σ(X, X
) of a locally convex space ...
[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 ...
Bonet Solves, José Antonio; WEGNER, SVEN-AKE(Adam Miekiewicz University. Faculty of Mathematics and Computer Science, 2011)
[EN] We establish a criterion to decide when a countable projective limit
of countable inductive limits of normed spaces is bornological. We
compare the conditions occurring within our criterion with well-known
abstract ...
Bonet Solves, José Antonio; Bonilla, Antonio(Springer Verlag (Germany), 2013-02-11)
Motivated by recent work on the rate of growth of frequently hypercyclic entire functions due to Blasco, Grosse-Erdmann and Bonilla, we investigate conditions to ensure that the differentiation operator is chaotic or ...
Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner Joseph(Polskiej Akademii Nauk, Instytut Matematyczny (Polish Academy of Sciences, Institute of Mathematics), 2014-09-29)
[EN] We characterize Köthe echelon spaces (and, more generally, those Fréchet
spaces with an unconditional basis) which are Schwartz, in terms of the convergence of the Cesàro means of power bounded operators defined on ...
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; 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 ...
Albanese, Angela Ama; Bonet Solves, José Antonio; Ricker, Werner J.(Elsevier, 2013-05-01)
Every Köthe echelon Fréchet space XX that is Montel and not isomorphic to a countable product of copies of the scalar field admits a power bounded continuous linear operator TT such that I−TI−T does not have closed range, ...
Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner J.(Springer-Verlag, 2016)
[EN] The spectrum and point spectrum of the Cesaro averaging operator C acting on the Frechet space C-infinity(R+) of all C-infinity functions on the interval [0, infinity) are determined. We employ an approach via ...
Bonet Solves, José Antonio(Editorial Universitat Politècnica de València, 2008-04-23)
Discurso leído en el acto de recepción como académico del número de la Real Academia de Ciencias Exactas, Físicas y Naturales, por D. José Bonet Solves y contestación de D. Manuel Valdivia Ureña el 23 de abril de 2008. El ...
El creciente impacto de las matemáticas en la ciencia, la tecnología y en nuestra vida cotidiana es indudable. Las matemáticas son relevantes en biología, en telecomunicación, en tratamiento de imágenes, en robótica, en ...
[ES] El objetivo de esta tesis es estudiar las propiedades ergódicas (acotación en potencias, ergodicidad media y ergodicidad media uniforme) de operadores definidos en varios espacios de funciones. En un espacio Hausdorff ...
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 ...
Bonet Solves, José Antonio; Fernandez Rosell, Carmen; Galbis Verdu, Antonio; Ribera Puchades, Juan Miguel(Duke University Press, 2017)
[EN] Frames and Bessel sequences in Fr\'echet spaces and their duals are defined and studied. Their relation with Schauder frames and representing systems is analyzed. The abstract results presented here, when applied to ...