Kakol, Jerzy; Moll López, Santiago Emmanuel(Springer-Verlag, 2021-07)
[EN] It is well known that the property of being a bounded set in the class of topological vector spaces E is not a topological property, where a subset B ¿ E is called a bounded set if every neighbourhood of zero U in E ...
Albanese, Angela A.; Jorda Mora, Enrique; Mele, Claudio(Elsevier, 2022-10-01)
[EN] In this paper we consider composition operators on locally convex spaces of functions defined on R. We prove results concerning supercyclicity, power boundedness, mean ergodicity and convergence of the iterates in the ...
Alas, Ofelia T.; Tamariz-Mascarúa, Ángel(Universitat Politècnica de València, 2008-04-01)
[EN] The Cech number of a space Z, C(Z), is the pseudocharacter of Z in βZ. In this article we obtain, in ZFC and assuming SCH, some upper and lower bounds of the Cech number of spaces Cp(X) of realvalued continuous ...