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.(Cambridge University Press, 2017)
[EN] The classical spaces l(p+), 1 <= p < infinity, and Lp-, 1 < p <= infinity, are countably normed, reflexive Frechet spaces in which the Cesaro operator C acts continuously. A detailed investigation is made of various ...
Albanese, Angela; Bonet Solves, José Antonio; Ricker, Werner J.(Springer-Verlag, 2016)
[EN] The CesA ro operator C, when acting in the classical growth Banach spaces and , for , of analytic functions on , is investigated. Based on a detailed knowledge of their spectra (due to A. Aleman and A.-M. Persson) we ...
Albanese, Angela; Bonet Solves, José Antonio; Ricker, W.(Theta Foundation, 2018)
[EN] A detailed investigation is made of the continuity, spectrum and mean ergodic properties of the Cesaro operator C when acting on the strong duals of power series spaces of infinite type. There is a dramatic difference ...
Albanese, Angela; Bonet Solves, José Antonio; Ricker, Werner J.(Springer-Verlag, 2018)
[EN] The spectrum of the CesA ro operator , which is always continuous (but never compact) when acting on the classical Korenblum space and other related weighted Fr,chet or (LB) spaces of analytic functions on the open ...
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) ...
[EN] Unlike for l(p), 1 < p <= infinity, the discrete Cesaro operator C does not map l(1) into itself. We identify precisely those weights w such that C does map l(1)(w) continuously into itself. For these weights a complete ...
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) ...