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| COHOMOLOGY VANISHING IN HILBERT SPACES | |
| 作者姓名： | J. KAJIWARA LI Xiaodong K. H. SHON |
| 作者单位： | J. KAJIWARA LI Xiaodong K. H. SHON Graduate School of Mathematics，Kyushu University 33，Fukuoka 812-8581，Japan.College of Applied Mathematics，University of Electronic Science and Technology of China，Chengdu 610054 China. Department of Mathematics，Pusan National University，Pusan 609-735，Korea. |
| 基金项目： | Korea Research Foundation Grant (KRF-2001-015-DP0015). |
| 摘 要： | §1. Introduction Oka 40] proved that any additive Cousin problem is solvable in a domain of holomorphyin Cn. Oka 41]-Cartan 2, 3]-Serre 46] generalized this as the theorem B for analyticcoherent sheaves over Stein spaces. J. P. Serre 47] proved… |
| 关 键 词： | 上同调消没定理 HILBERT空间 伪凸性 光滑边界 |
| 收稿时间： | 2013/12/2 0:00:00 |
COHOMOLOGY VANISHING IN HILBERT SPACES |
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| J. KAJIWARA,LI Xiaodong,K. H. SHON.COHOMOLOGY VANISHING IN HILBERT SPACES[J].Chinese Annals of Mathematics,Series B,2004,25(1):87-96. | |
| Authors: | J KAJIWARA LI Xiaodong and K H SHON |
| Institution: | 1. Graduate School of Mathematics, Kyushu University 33, Fukuoka 812-8581, Japan 2. College of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054 China 3. Department of Mathematics, Pusan National University, Pusan 609-735, Korea |
| 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 |
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