A rigidity theorem for holomorphic generators on the Hilbert ball
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Publication:3542050
DOI10.1090/S0002-9939-08-09417-3zbMath1166.46043arXiv0708.2899OpenAlexW2044684185MaRDI QIDQ3542050
Mark Elin, Marina Levenshtein, David M. Shoikhet, Simeon Reich
Publication date: 27 November 2008
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0708.2899
Related Items (5)
A Schwarz lemma at the boundary on complex Hilbert balls and applications to starlike mappings ⋮ A rigidity theorem at the boundary for holomorphic mappings with values in finite dimensional bounded symmetric domains ⋮ Non-tangential Burns-Krantz rigidity ⋮ Boundary behavior of infinitesimal generators in the unit ball ⋮ A rigidity condition for generators in strongly convex domains
Cites Work
- Semigroups of analytic functions and composition operators
- Semigroups and generators on convex domains with the hyperbolic metric
- Identity principles for commuting holomorphic self-maps of the unit disc
- Holomorphic mappings from the ball and polydisc
- A Burns-Krantz type theorem for domains with corners
- Hyperbolic monotonicity in the Hilbert ball
- Rigidity at the boundary for holomorphic self-maps of the unit disk
- Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary
- Complex dynamical systems and the geometry of domains in Banach spaces
- A Boundary Rigidity Problem For Holomorphic Mappings on Some Weakly Pseudoconvex Domains
- The Numerical Range of Holomorphic Functions in Banach Spaces
- Dissipative holomorphic functions, Bloch radii, and the Schwarz lemma
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