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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.FA2018
On the ascent-descent spectrum
Nassim Athmouni, Mondher Damak, Chiraz Jendoubi
We establish the various properties as well as diverse relations of the ascent and descent spectra for bounded linear operators. We specially focus on the theory of subspectrum. Fu…