A. Hosseini

activity

20102024

most citedLi-Yorke and Devaney chaotic uniform dynamical systems amongst weighted shifts

1 citations · 1 across the 7 of their papers we have counts for

collaborators

7 papers

math.FA2024

On adjoint invariant classes of shift operators

F. Ayatollah Zadeh Shirazi, E. Hakimi, A. Hosseini +1

In the following text we compute the adjoint of weighted generalized shift operators over Hilbert spaces. We show for a conjugate invariant subset $A$ of $C$ , the additive…

math.GN2023

Uniformizable functional Alexandroff spaces

Fatemah Ayatollah Zadeh Shirazi, Elahe Hakimi, Arezoo Hosseini +1

In the following text we show that the Alexandroff space $X$ is uniformizable if and only if the collection of all smallest neighbourhoods is a partition of $X$ . Moreover the Alexa…

math.GM2022

Set-theoretical entropies of weighted generalized shifts

Fatemah Ayatollah Zadeh Shirazi, Arezoo Hosseini, Lida Mousavi +1

In this paper for a finite field $F$ , a nonempty set $Γ$ , a self--map $φ : Γ \to Γ$ and a weight vector $w \in F^{Γ}$ , we show that the set--theoretical entropy of the weighted…

math.DS2022★ 1 cited

Li-Yorke and Devaney chaotic uniform dynamical systems amongst weighted shifts

Fatemah Ayatollah Zadeh Shirazi, Elaheh Hakimi, Arezoo Hosseini +1

In this paper, for finite discrete field $F$ , nonempty set $Γ$ , weight vector $w = (w_{α})_{α \in Γ} \in F^{Γ}$ and weighted generalized shift $σ_{φ,{\mathfrak w}}:F^…

math.FA2021

Generalized shifts through derivations' concept in $ℓ^{p} (τ)$ spaces

Safoura Arzanesh, Fatemah Ayatollah Zadeh Shirazi, Arezoo Hosseini

In the following text for $p \in [1, \infty]$ , nonzero cardinal number $τ$ , self--map $φ : τ \to τ$ if there exists $N \in N$ such that $φ^{- 1} (α)$ has at most $N$ elements for eac…

math.DS2017

On a class between Devaney chaotic and Li-Yorke chaotic generalized shift dynamical systems

Fatemah Ayatollah Zadeh Shirazi, Fatemeh Ebrahimifar, Maryam Hagh Jooyan +1

In the following text, for finite discrete $X$ with at least two elements, nonempty countable $Γ$ , and $φ : Γ \to Γ$ we prove the generalized shift dynamical system $(X^{Γ}, σ_{φ})$ is dens…

math.GR2010

Algebraic entropy of shift endomorphisms on abelian groups

Maryam Akhavin, Fatemah Ayatollah Zadeh Shirazi, Dikran Dikranjan +2

For every finite-to-one map $λ : Γ \to Γ$ and for every abelian group $K$ , the generalized shift $σ_{λ}$ of the direct sum $⨁_{Γ} K$ is the endomorphism defined by $(x_i)_{i\inΓ}\ma…