Angosto Hernández, Carlos; Kakol, Jerzy Marian; López Pellicer, Manuel(Elsevier, 2013-07-01)
[EN] Let E be a Frechet space, i.e. a metrizable and complete locally convex space (lcs), E '' its strong second dual with a defining sequence of seminorms parallel to center dot parallel to(n) induced by a decreasing basis ...
For a Banach space E and its bidual space E'', the function k(H) defined on bounded
subsets H of E measures how far H is from being σ(E,E')-relatively compact in E. This concept, introduced independently by Granero, ...
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, ...
[EN] A local convex space $E$ is said to be distinguished if its strong dual $E_{\beta }^{\prime }$ has the topology $\beta (E^{\prime },(E_{\beta}^{\prime })^{\prime })$, i.e., if $E_{\beta }^{\prime }$ is barrelled. ...
Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner J.(Springer-Verlag, 2019-04)
[EN] The Fréchet sequence spaces ces(p+) are very different to the Fréchet sequence spaces ¿p+,1¿p<¿, that generate them, (Albanese et al. in J Math Anal Appl 458:1314¿1323, 2018). The aim of this paper is to investigate ...
Albanese, Angela; Bonet Solves, José Antonio; Ricker, Werner J.(Institute of Mathematics, Polish Academy of Sciences, 2018)
[EN] The discrete Cesaro operator C is investigated in the class of power series spaces Lambda(0) (alpha) of finite type. Of main interest is its spectrum, which is distinctly different in the cases when Lambda(0) (alpha) ...
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 ...
Gomez Orts, Esther(Universitat Politècnica de València, 2022-05-30)
[ES] El objetivo de esta tesis es estudiar distintas propiedades de los operadores de composición ponderados en diferentes espacios ponderados de funciones analíticas.
Dado un peso v estrictamente positivo y continuo en ...