The numerical range of (generally speaking, unbounded) linear operators plays a crucial
role in linear semigroup theory because of the celebrated Lumer–Phillips Theorem. For …

We introduce a family of natural normalized Loewner chains in the unit ball, which we call
“geräumig”—spacious—which allow us to construct, by means of suitable variations, other …

In this paper, we define the notion of asymptotic spirallikeness (a generalization of
asymptotic starlikeness) in the Euclidean space ℂ n. We consider the connection between …

We consider operators that extend locally univalent mappings of the unit disk Δ in C to
locally biholomorphic mappings of the Euclidean unit ball B of Cn. For such an operator Φ …

For a linear operator A ∈ L (C^ n) A∈ L (C n), let k_+(A) k+(A) be the upper exponential
index of AA and let m (A)=\min {R ⟨ A (z), z ⟩: ‖ z ‖= 1\} m (A)= min R< A (z), z>:‖ z‖= 1 …

We consider support points of the class $ S^ 0 (B^ n) $ introduced by G. Kohr and prove that,
given a normalized Loewner chain $ f (z, t) $ such that $ f (\cdot, 0) $ is a support point of …

The Roper–Suffridge extension operator and its modifications are powerful tools to construct
biholomorphic mappings with special geometric properties. The first purpose of this paper is …

In this paper we consider extreme points and support points for compact subclasses of
normalized biholomorphic mappings of the Euclidean unit ball B n in ℂ n. We consider the …

Known results concerning the extension of normalized Loewner chains defined on the unit
disk or the euclidean unit ball to higher dimensions, using either a modified Roper-Suffridge …

In this paper we develop a variational method for the Loewner equation in higher
dimensions. As a result we obtain a version of Pontryagin's maximum principle from optimal …