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Authors: MARK ELIN, FIANA JACOBZON.
DOI: 10.24193/subbmath. 2022.2.09
Published Online: 2022-06-10
Published Print: 2022-06-30
pp. 329-344
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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.
Key words: Fekete-Szegö inequality, holomorphically accretive mapping, spirallike mapping, non-linear resolvent
Mathematics Subject Classification (2010): 32H02, 30C45
