Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner J.(Springer-Verlag, 2024-11-05)
[EN] Recent results concerning the linear dynamics and mean ergodicity of compact operators in Banach spaces, together with additional new results, are employed to investigate various spectral properties of generalized Ces ...
[EN] In this paper, we introduce inductive limits of the Fr & eacute;chet spaces l (p+), ces(p+),andd(p+)(1 <= p<infinity) and projective limits of the (LB)-spaces l(p-), ces(p-),andd(p-)(1<p <=infinity). After having ...
Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner J.(Springer-Verlag, 2023-10)
[EN] The generalized Cesaro operators C-t, for t is an element of[0, 1], were first investigated in the 1980s. They act continuously in many classical Banach sequence spaces contained in C(N)0, such as l(p), c(0), c, bv(0), ...
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 ...