Fatemah Ayatollah Zadeh Shirazi

activity

20102022

collaborators

4 papers

math.FA2022

Eigenvalues of weighted generalized shifts over direct products of vector spaces

Safoura Arzanesh, Fatemah Ayatollah Zadeh Shirazi, Arezoo Hosseini +1

In the following text for vector space $V$ over field $F$ we compute all eigenvalues of weighted generalized shift $σ_{φ, w} : V^{Γ} \to V^{Γ}$ (and generalized shift $σ_φ:V^Γ\t…

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.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.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…

Eigenvalues of weighted generalized shifts over direct products of vector spaces

Set-theoretical entropies of weighted generalized shifts

Generalized shifts through derivations' concept in ℓp(τ) spaces

Algebraic entropy of shift endomorphisms on abelian groups

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