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| COHOMOLOGY VANISHING IN HILBERT SPACES |
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Citation： |
J. KAJIWARA,LI Xiaodong,K. H. SHON.COHOMOLOGY VANISHING IN HILBERT SPACES[J].Chinese Annals of Mathematics B,2004,25(1):87~96 |
| Page view： 1465
Net amount： 706 |
Authors： |
J. KAJIWARA; LI Xiaodong;K. H. SHON |
Foundation： |
Project supported by Korea Research Foundation Grant (KRF-2001-015-DP0015). |
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| Abstract： |
The authors give two cohomology vanishing theorems for domains, which are not
pseudoconvex, and characterize the holomorphy of domains with smooth boundaries in
separable Hilbert spaces through cohomology vanishing. |
Keywords： |
Infinite dimension, Cohomology vanishing, Pseudoconvexity |
Classification： |
32F10, 32L20, 32T05 |
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