A rigidity theorem at the boundary for holomorphic mappings with values in finite dimensional bounded symmetric domains

Abstract

AbstractLet be a bounded symmetric domain realized as the open unit ball of a finite dimensional JB*‐triple X. In this paper, we obtain a rigidity theorem at the boundary for holomorphic mappings from a balanced domain G in a complex Banach space E into . We also obtain a rigidity theorem at the boundary for holomorphic self‐mappings of . Our results give generalizations of the recent results obtained on the Euclidean unit ball or the unit polydisc in .