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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…
Convergence estimates for the Magnus expansion IIA. matrices with operator norm
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 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…
A short proof of the elliptical range theorem
Gyula Lakos
A short proof of the elliptical range theorem concerning the numerical range of complex matrices is given.