10 papers
The elliptical range theorem for the conformal range
Gyula Lakos
The conformal range (or the real Davis--Wielandt shell), which is a particular planar projection of the Davis--Wielandt shell, can be considered as the hyperbolic version of the nu…
Hyperbolic elliptic parabolic disks approximated by half distance bands
Gyula Lakos
Hyperbolic elliptic parabolic disks can be described by the inequality () in the unit disk based Beltrami--Cayley--Klein model of the hyperbol…
On the elliptical range theorems for the Davis-Wielandt shell, the numerical range, and the conformal range
Gyula Lakos
We consider the elliptical range theorems for the Davis--Wielandt shell, the numerical range, and the conformal range in terms of and related to their quadratic representations. Th…
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…