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 ...
Bonet Solves, José Antonio; de Pagter, Ben; Ricker, Werner Joseph(2011-09-26)
Connections between (positive) mean ergodic operators acting in Banach lattices and properties of the underlying lattice itself are well understood (see the works of Emel'yanov, Wolff and Zaharopol). For Frechet lattices ...
Albanese, Angela Anna; Bonet Solves, José Antonio; Ricker, Werner Joseph(Springer Verlag (Germany), 2012-09)
We present criteria for determining mean ergodicity of C 0-semigroups of linear operators in a sequentially complete, locally convex Hausdorff space X. A characterization of reflexivity of certain spaces X with a basis via ...
Albanese, Angela Anna; Bonet Solves, José Antonio; Ricker, Werner Joseph(Taylor & Francis: STM, Behavioural Science and Public Health Titles, 2013-05)
For C-0-semigroups of continuous linear operators acting in a Banach space criteria are available which are equivalent to uniform mean ergodicity of the semigroup, meaning the existence of the limit (in the operator norm) ...
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 ...
Bonet Solves, José Antonio; RICKER, WERNER(Springer-Verlag, 2020-03)
[EN] The discrete Cesaro (Banach) sequence spaces ces(r),1<r<infinity, have been thoroughly investigated for over 45 years. Not so for their dual spaces d(s) approximately equal to (ces(r))', which are somewhat unwieldy. ...
Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner Joseph(Adam Miekiewicz University. Faculty of Mathematics and Computer Science, 2014)
[EN] Let (T(t))t>0 be a strongly continuous C0-semigroup of bounded linear operators
on a Banach space X such that limt→∞ kT(t)/tk = 0. Characterizations of when (T(t))t>0 is
uniformly mean ergodic, i.e., of when its ...