Mark Elin
Braude College, Karmiel, Israel

Generalizing classical results in complex analysis, we study the Fekete--Szegö problem on the open unit ball of a complex Banach space. Namely, we establish the Fekete--Szegö type inequalities over the class of spirallike mappings (relative to an arbitrary strongly accretive operator), and some of its subclasses.

In addition, we consider families of non-linear resolvents for holomorphically accretive mappings vanishing at the origin. We solve the Fekete--Szegö problem over these families.

Based on join work with Fiana Jacobzon.