GALBIS VERDU, ANTONIO; Jorda Mora, Enrique(European Mathematical Society Publishing House, 2018)
[EN] We study composition operators on the Schwartz space of rapidly decreasing functions. We prove that such a composition operator is never a compact operator and we obtain necessary or sufficient conditions for the range ...
FERNÁNDEZ ROSELL, CARMEN; GALBIS VERDU, ANTONIO; Jorda Mora, Enrique(Elsevier, 2018)
[EN] In this paper we study the dynamics of the composition operators defined in the Schwartz space of rapidly decreasing functions. We prove that such an operator is never supercyclic and, for monotonic symbols, it is ...
Fernández, Carmen; Galbis, Antonio; Jorda Mora, Enrique(Elsevier, 2020-05-13)
[EN] We study the spectrum of operators in the Schwartz space of rapidly decreasing functions which associate each function with its composition with a polynomial. In the case where this operator is mean ergodic we prove ...