6 papers · 1 filter
On Topological Numerical Transitivity, C*-Transitivity and generalizations
Otmane Benchiheb, Stefan Ivkovic
Motivated by the concept of numerical hypercyclicity, in this paper, we introduce three new notions in linear dynamics: topological numerical transitivity, generalized numerical tr…
Periodicity in Banach algebras
Stefan Ivkovic
In this paper, we consider operators that are compositions of an isometric isomorphism and a left multiplier on a Banach algebra, and we provide necessary and sufficient conditions…
Disjoint F-semi-transitivity in Banach algebras
Stefan Ivkovic
In this paper, we consider the concept of disjoint Furstenberg-semi-transitivity for operators that are a composition of an isometric isomorphism and a left multiplier on a normed…
Luh hypercyclic vector for composition operator
Otmane Benchiheb, Stefan Ivkovic, Noureddine Karim +1
In this paper, we deal with the construction of holomorphic functions on a simply connected domain satisfying that all its derivatives and antiderivatives under a composition opera…
Dynamics on weighted solid Banach function spaces
Stefan Ivkovic
The dynamics of weighted translation operators on Lebesgue spaces, Orlicz spaces, and in general on solid Banach function spaces have been studied in numerous papers. Recently, the…
Dynamics of operators on the space of Radon measures
Stefan Ivkovic
In this paper, we study the dynamics of the adjoint of a weighted composition operator and we give necessary and sufficient conditions for this adjoint operator to be topologically…