Bieberbach conjecture, Bohr radius, Bloch constant and Alexander's theorem in infinite dimensions

Hidetaka Hamada, Gabriela Kohr, Mirela Kohr

In this paper, we investigate holomorphic mappings $F$ on the unit ball $\mathbb{B}$ of a complex Banach space of the form $F(x)=f(x)x$, where $f$ is a holomorphic function on $\ma…