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 ...
[EN] Let (A, D(A)) be a densely defined operator on a Banach space X. Characterizations of when (A, D(A)) generates a C-0-semigroup on X are known. The famous result of Lumer and Phillips states that it is so if and only ...
Albanese, Angela A.; Barrachina Civera, Xavier; Mangino, Elisabetta Maria; Peris Manguillot, Alfredo(American Institute of Mathematical Sciences (AIMS), 2013-09)
Distributional chaos for strongly continuous semigroups is studied and characterized. It is shown to be equivalent to the existence of a distributionally irregular vector. Finally, a sufficient condition for distributional ...
Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner J.(Springer-Verlag, 2016)
[EN] The spectrum and point spectrum of the Cesaro averaging operator C acting on the Frechet space C-infinity(R+) of all C-infinity functions on the interval [0, infinity) are determined. We employ an approach via ...
Se estudia la w-regularidad de soluciones de ciertos operadores que son globalmente hipoelípticos en el toro N-dimensional. Se aplican estos resultados para probar la w-regularidad global de ciertas clases de sublaplacianos. ...
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.(Hindawi Publishing Corporation, 2014)
Well-known Banach space results (e.g., due to J. Koliha and Y. Katznelson/L. Tzafriri), which relate conditions on the spectrum of a
bounded operator T to the operator norm convergence of certain sequences of operators ...
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 ...