Isometries for the Carathéodory Metric

نویسندگان

  • MARCO ABATE
  • Mei-Chi Shaw
چکیده

Given two open unit balls B1 and B2 in complex Banach spaces, we consider a holomorphic mapping f : B1 → B2 such that f(0) = 0 and f ′(0) is an isometry. Under some additional hypotheses on the Banach spaces involved, we prove that f(B1) is a complex closed analytic submanifold of B2.

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تاریخ انتشار 2008