arXiv subjects

A. Jabbari

Publications and source records attributed to A. Jabbari.

3 recordsLinked to original sources

arXiv2009

Skew product dynamical systems, Ellis groups and topological centre

In this paper, a general construction of a skew product dynamical system, for which the skew product dynamical system studied by Hahn is a special case, is given. Then the ergodic and topological properties (of a special type) of our newly defined systems (called Milnes type systems) are investigated. It is shown that the Milnes type systems are actually natural extensions of dynamical systems corresponding to some special distal functions. Finally, the topological centre of the Ellis group of any skew product dynamical system is calculated.

math.FA↗

arXiv2009

Constructions preserving $n$-weak amenability of Banach algebras

A surjective bounded homomorphism fails to preserve $n$-weak amenability, in general. We however show that it preserves the property if the involved homomorphism enjoys a right inverse. We examine this fact for certain homomorphisms on several Banach algebras.

math.FA↗

arXiv2009

A Class of Distal Functions on Semitopological Semigroups

The norm closure of the algebra generated by the set $\{n\mapsto λ^{n^k}:$ $λ\in{\mathbb {T}}$ and $k\in{\mathbb{N}}\}$ of functions on $({\mathbb {Z}}, +)$ was studied in \cite{S} (and was named as the Weyl algebra). In this paper, by a fruitful result of Namioka, this algebra is generalized for a general semitopological semigroup and, among other things, it is shown that the elements of the involved algebra are distal. In particular, we examine this algebra for $({\mathbb {Z}}, +)$ and (more generally) for the discrete (additive) group of any countable ring. Finally, our results are treated for a bicyclic semigroup.

math.FA↗