Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner J.(Springer-Verlag, 2016)
[EN] A detailed investigation is made of the continuity, the compactness and the spectrum of the Cesàro operator C acting on the weighted Banach sequence space c0(w) for a bounded, strictly positive weight w. New features ...
Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner Joseph(Springer Verlag (Germany), 2015)
Various properties of the (continuous) Cesàro operator C, acting on Banach
and Fréchet spaces of continuous functions and L p-spaces, are investigated. For
instance, the spectrum and point spectrum of C are completely ...
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 ...
Bonet Solves, José Antonio; Ricker, Werner J.(Springer-Verlag, 2020-07)
[EN] The discrete Cesàro operator C acts continuously in various classical Banach sequence spaces within CN. For the coordinatewise order, many such sequence spaces X are also complex Banach lattices [eg. c0,¿p for 1<p¿¿, ...
Albanese, Angela; Bonet Solves, José Antonio; Ricker, Werner J.(Cambridge University Press, 2015)
[EN] An investigation is made of the continuity, the compactness and the spectrum of the Ces`aro operator C
when acting on the weighted Banach sequence spaces l_p(w), 1 < p < 1, for a positive decreasing weight
w, thereby ...
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) ...