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math.FA2024
Convergence estimates for the Magnus expansion IE. Finite dimensional Banach algebras
Gyula Lakos
We review and provide simplified proofs related to the Magnus expansion, and improve convergence estimates. Observations and improvements concerning the Baker--Campbell--Hausdorff…
math.FA2024
On averaged self-distances in finite dimensional Banach spaces
Gyula Lakos
Assume that is a real Banach space of finite dimension . Consider any Borel probability measure supported on the unit ball of . We show t…
math.FA2024
The noncommutative heat equation and certain Lie series
Gyula Lakos
We approach the convergence of the Magnus, Wilcox, and symmetric Wilcox expansions by a non-commutative heat equation derived from the Maurer-Cartan equation.