Unitary equivalence, similarity and calculation of K-0-group

doi:10.1007/s10114-004-0461-9

	Unitary equivalence, similarity and calculation of K-0-group
	He, H ; Jiang, CL
刊名	ACTA MATHEMATICA SINICA-ENGLISH SERIES
	2005-12-01
卷号	21 期号:6 页码:1259-1268
关键词	strongly irreducible operators Cowen-Douglas operator holomorphic complex bundle Grassmann manifold K-0-group
ISSN号	1439-8516
DOI	10.1007/s10114-004-0461-9
英文摘要	In this paper, we are concerned with the classification of operators on complex separable Hilbert spaces, in the unitary equivalence sense and the similarity sense, respectively. We show that two strongly irreducible operators A and B are unitary equivalent if and only if W*(A circle plus B)'approximate to M-2(C), and two operators A and B in B-1(Omega) are similar if and only A'(A circle plus B)/J approximate to M-2(C). Moreover, we obtain V(H-infinity(Omega,mu))approximate to N and K-0(H-infinity(Omega,mu))approximate to Z by the technique of complex geometry, where Omega is a bounded connected open set in C, and mu is a completely non-reducing measure on Omega.
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000236388600002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/2069]
专题	中国科学院数学与系统科学研究院
通讯作者	He, H
作者单位	1.Hebei Univ Technol, Dept Appl Math, Tianjin 300130, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	He, H,Jiang, CL. Unitary equivalence, similarity and calculation of K-0-group[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2005,21(6):1259-1268.
APA	He, H,&Jiang, CL.(2005).Unitary equivalence, similarity and calculation of K-0-group.ACTA MATHEMATICA SINICA-ENGLISH SERIES,21(6),1259-1268.
MLA	He, H,et al."Unitary equivalence, similarity and calculation of K-0-group".ACTA MATHEMATICA SINICA-ENGLISH SERIES 21.6(2005):1259-1268.