M. Khamsi

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math.FA2026

Modular Topologies on Vector Spaces: Structure and Normability

M. Khamsi, J. Lang, O. Mendez

We investigate the topology generated by modular convergence on vector spaces endowed with a convex modular. Although modular convergence has long played a central role in the theo…

math.FA2025

Modular topologies on vector spaces

Mohamed Khamsi, Jan Lang, Osvaldo Mendez

This paper addresses the topological structures induced on vector spaces by convex modulars that do not satisfy the $Δ_{2}$ condition, with particular focus on their applications to…