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

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  • Hidetaka Hamada
  • Gabriela Kohr

Abstract

Let BX 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 BX. We also obtain a rigidity theorem at the boundary for holomorphic self‐mappings of BX. Our results give generalizations of the recent results obtained on the Euclidean unit ball or the unit polydisc in Cn.

Suggested Citation

  • Hidetaka Hamada & Gabriela Kohr, 2021. "A rigidity theorem at the boundary for holomorphic mappings with values in finite dimensional bounded symmetric domains," Mathematische Nachrichten, Wiley Blackwell, vol. 294(11), pages 2151-2159, November.
    • Handle: RePEc:bla:mathna:v:294:y:2021:i:11:p:2151-2159
    DOI: 10.1002/mana.202100023
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    1. Hidetaka Hamada & Gabriela Kohr, 2020. "A boundary Schwarz lemma for mappings from the unit polydisc to irreducible bounded symmetric domains," Mathematische Nachrichten, Wiley Blackwell, vol. 293(7), pages 1345-1351, July.
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