N. Boudi

most citedOn the invertibility of elementary operators

1 citations · 1 across the 2 of their papers we have counts for

collaborators

4 papers

math.RA2020

Natural families in evolution algebras

Nadia Boudi, Yolanda Cabrera Casado, Mercedes Siles Molina

In this paper we introduce the notion of evolution rank and give a decomposition of an evolution algebra into its annihilator plus extending evolution subspaces having evolution ra…

math.FA2013

More elementary operators that are spectrally bounded

Nadia Boudi, Martin Mathieu

We discuss some necessary and some sufficient conditions for an elementary operator $x \mapsto \sum_{i = 1}^{n} a_{i} x b_{i}$ on a Banach algebra $A$ to be spectrally bounded. In the case of…

math.FA2013★ 1 cited

On the invertibility of elementary operators

Nadia Boudi, Janko Bračič

Let $X$ be a complex Banach space and $L (X)$ be the algebra of all bounded linear operators on $X$ . For a given elementary operator $Φ$ of l…

math.RA2013

Locally quasi-nilpotent elementary operators

Nadia Boudi, Martin Mathieu

Let $A$ be a unital dense algebra of linear mappings on a complex vector space $X$ . Let $ϕ = \sum_{i = 1}^{n} M_{a_{i}, b_{i}}$ be a locally quasi-nilpotent elementary operator of length $n$ …