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Browsing by Subject "Fréchet space"

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Browsing by Subject "Fréchet space"

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    A quantitative approach to weak compactness in Fréchet spaces and spaces C(X) 
    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 ...
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    A quantitative version of Krein's theorems for Fréchet spaces 
    Angosto Hernández, Carlos; Kakol, Jerzy; Kubzdela, Albert; López Pellicer, Manuel (Springer Verlag (Germany), 2013-05)
    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, ...
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    Convergence of arithmetic means of operators in Fréchet spaces 
    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, ...
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    Operators on the Fréchet sequence space ces(p+), $1 \leq p < \infty$ 
    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 ...
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    The Cesàro operator on power series spaces 
    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) ...
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    The differentiation operator in the space of unifornly convergent Dirichlet series 
    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 ...
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    Weighted Composition Operators on Spaces of Analytic Functions 
    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 ...