Nadia Boudi - Academia.edu (original) (raw)

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Papers by Nadia Boudi

arXiv (Cornell University), Dec 20, 2013

Communications in Algebra, Aug 7, 2019

Reports on Mathematical Physics, Apr 1, 2023

CRC Press eBooks, Jun 6, 2023

arXiv (Cornell University), Jun 25, 2020

arXiv: Rings and Algebras, Feb 27, 2013

Publicacions Matemàtiques, 2022

An algebra which is associative or alternative is Noetherian if it sat-isfies the ascending chain... more An algebra which is associative or alternative is Noetherian if it sat-isfies the ascending chain condition on left ideals or equivalently, every left ideal is finitely generated. A well-known result of Sinclair and Tullo [9] states that an associative Noetherian Banach algebra

Irish Mathematical Society Bulletin, 2002

Reports on Mathematical Physics, 2021

Generalized eigenvectors are key tools in the theory of rigged Hilbert spaces. Let H be a Hilbert... more Generalized eigenvectors are key tools in the theory of rigged Hilbert spaces. Let H be a Hilbert space and let Φ be a dense subspace of H . Let A be a densely defined linear operator in H such that Φ ⊂ DA and AΦ ⊂ Φ. The generalized eigenvectors of A are the eigenvectors of the algebraic dual of A |Φ. In the case where Φ is endowed with a topology τ finer than the norm topology inherited from H , generalized eigenvectors that are τ-continuous may be of great interest. We discuss conditions which ensure the existence of representations associated to generalized eigenvectors of A. As an application, we review and refine Bohm's study of the algebra of the quantum harmonic oscillator.

Illinois Journal of Mathematics, 2004

Houston Journal of Mathematics, 2012

Electronic Journal of Linear Algebra, 2016

Let X be a complex Banach space and L(X) be the algebra of all bounded linear operators on X. For... more 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 P of length 2 on L(X), we determine necessary and sufficient conditions for the existence of a solution of the equation YP=0 in the algebra of all elementary operators on L(X). Our approach allows us to characterize some invertible elementary operators of length 2 whose inverses are elementary operators.

JOURNAL OF OPERATOR THEORY

Let A, B be unital complex Banach algebras. An additive map φ from A to B is said to preserve str... more Let A, B be unital complex Banach algebras. An additive map φ from A to B is said to preserve strongly generalized inverses if φ(a) is a gen-eralized inverse of φ(b) whenever a is a generalized inverse of b. In this paper, we characterize additive maps preserving strongly generalized inverses. KEYWORDS: Generalized inverses, Jordan homomorphism, linear preserver prob-lems. MSC (2000): 47B48, 47A10, 46H05.