Marwa Ennaceur

collaborators

12 papers

math.RA2026

Study of Rota-Baxter Operators in Matrix $C^{*}$ -Algebras Motivated by Toeplitz Structures, and Applications to Sliding Mode Control

Marwa Ennaceur

This paper studies Rota-Baxter operators on the matrix $C^{*}$ -algebra $M_{n} (C)$ , motivated by the discrete Toeplitz algebra (whose role is purely heuristic; see Remark~\ref{…

math.FA2026

Local Lie Theory in Quasi-Banach Lie Algebras: Convergence of the BCH Series and Geometric Implications

Nassim Athmouni, Mohsen Ben Abdallah, Mondher Damak +3

We develop a local Lie theory for Lie algebras equipped with a quasi-norm, i.e., complete topological vector spaces satisfying a relaxed triangle inequality $\|x+y\|\le \Ctri(\|x\|…

math.DG2025

Spectral Theory of Almost Periodic Banach--Malcev Algebras and Applications to Moufang Dynamics

Marwa Ennaceur

We introduce almost periodic Banach--Malcev algebras as a non-associative extension of Bohr's classical theory. Our framework is based on the relative compactness of adjoint orbits…

math.RA2025

Homogeneous Rota--Baxter Operators of Weight~0 on $B (q)$

Mohsen Ben Abdallah, Marwa Ennaceur

We give a complete and rigorous classification of homogeneous weight $0$ Rota--Baxter operators on the Block-type Witt algebra $B (q)$ , assuming the operator has integral degree $(k…

math.RA2025

Classification of Homogeneous Odd Rota--Baxter Operators on a Modified Witt-Type Lie Superalgebra

Mohsen Ben Abdallah, Marwa Ennaceur

We classify all homogeneous odd (i.e., parity-reversing) Rota--Baxter operators of weight zero on the modified Witt-type Lie superalgebra $W = ⟨ L_{m}, G_{n} ⟩_{m, n \in Z}$ .…

math.FA2025

Spectral Theory and Almost Periodic Structures in Hom--Lie Banach Algebras

Marwa Ennaceur

We develop a systematic functional-analytic framework for Hom--Lie Banach algebras, introducing bounded $I^\pm$ -twisted derivations and almost periodic elements. Under natural continu…

Study of Rota-Baxter Operators in Matrix C∗-Algebras Motivated by Toeplitz Structures, and Applications to Sliding Mode Control

Local Lie Theory in Quasi-Banach Lie Algebras: Convergence of the BCH Series and Geometric Implications

Spectral Theory of Almost Periodic Banach--Malcev Algebras and Applications to Moufang Dynamics

Homogeneous Rota--Baxter Operators of Weight~0 on B(q)

Classification of Homogeneous Odd Rota--Baxter Operators on a Modified Witt-Type Lie Superalgebra

Spectral Theory and Almost Periodic Structures in Hom--Lie Banach Algebras

Study of Rota-Baxter Operators in Matrix $C^{*}$ -Algebras Motivated by Toeplitz Structures, and Applications to Sliding Mode Control

Homogeneous Rota--Baxter Operators of Weight~0 on $B (q)$