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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…
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…
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.
Convergence estimates for the Magnus expansion IA. Uniformly convex 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…
Convergence estimates for the Magnus expansion III. Banach--Lie 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…
Convergence estimates for the Magnus expansion II. -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…
Convergence estimates for the Magnus expansion I. 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…
Spectral calculations on locally convex vector spaces I
Gyula Lakos
We develop a holomorphic functional calculus for (multivalued linear) operators on locally convex vector spaces. This includes the case of fractional powers along Lipschitz curves.
Notes on Lebesgue integration
Gyula Lakos
Alternative approaches to Lebesgue integration are considered.