COHOMOLOGY VANISHING IN HILBERT SPACES  

作　　者：J.KAJIWARA LIXIAODONG K.H.SHON 

机构地区：[1]GraduateSchoolofMathematics,KyushuUniversity33,Fukuoka812-8581,Japan. [2]CollegeofAppliedMathematics,UniversityofElectronicScienceandTechnologyofChina,Chengdu610054China. [3]DepartmentofMathematics,PusanNationalUniversity,Pusan609-735,Korea.

出　　处：《Chinese Annals of Mathematics,Series B》2004年第1期87-96,共10页数学年刊（B辑英文版）

基　　金：Korea Research Foundation Grant (KRF-2001-015-DP0015).

摘　　要：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.

关 键 词：Infinite dimension Cohomology vanishing PSEUDOCONVEXITY 

分 类 号：O177.1[理学—数学]