Local automorphisms of the Hilbert ball
- Author(s)
- Bernhard Lamel
- Abstract
Every holomorphic mapping which takes a piece of the boundary of the unit ball in complex Hilbert space into the boundary of the unit ball and whose differential at some point of this boundary is onto is the restriction of an automorphism of the ball. We also show that it is enough to assume that the mapping is only Gâteaux-holomorphic.
- Organisation(s)
- Department of Mathematics
- Journal
- Proceedings of the American Mathematical Society
- Volume
- 136
- Pages
- 2815-2822
- No. of pages
- 8
- ISSN
- 0002-9939
- Publication date
- 2008
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 1010 Mathematics
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/local-automorphisms-of-the-hilbert-ball(95ad3558-b674-4cc4-8121-e34b5b85fbba).html