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A rigidity theorem for holomorphic generators on the Hilbert ball |
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| Authors: | Mark Elin Marina Levenshtein Simeon Reich David Shoikhet |
| Affiliation: | Department of Mathematics, ORT Braude College, P.O. Box 78, 21982 Karmiel, Israel ; Department of Mathematics, The Technion --- Israel Institute of Technology, 32000 Haifa, Israel ; Department of Mathematics, The Technion --- Israel Institute of Technology, 32000 Haifa, Israel ; Department of Mathematics, ORT Braude College, P.O. Box 78, 21982 Karmiel, Israel |
| Abstract: | We present a rigidity property of holomorphic generators on the open unit ball  of a Hilbert space  . Namely, if  is the generator of a one-parameter continuous semigroup  on  such that for some boundary point  , the admissible limit  -  , then  vanishes identically on  . |
| Keywords: | Angular limit Hilbert ball holomorphic generator $K$-limit one-parameter continuous semigroup rigidity |
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