The Fekete--Szegö problem for spirallike mappings and non-linear resolvents in Banach spaces

2022/02/06 by Elin, Mark, Jacobzon, Fiana · 1 citation
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2202.02854

Abstract

We study the Fekete--Szegö problem on the open unit ball of a complex Banach space. Namely, the Fekete--Szegö inequalities are proved for the class of spirallike mappings relative to an arbitrary strongly accretive operator, and some of its subclasses. Next, we consider families of non-linear resolvents for holomorphically accretive mappings vanishing at the origin. We solve the Fekete--Szegö problem over these families.

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