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arXiv · 2202.02854

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

Mark Elin·Fiana Jacobzon
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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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Mark Elin, Fiana Jacobzon. 2022-02-06. The Fekete--Szegö problem for spirallike mappings and non-linear resolvents in Banach spaces. https://arxiv.org/abs/2202.02854

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