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K-groups of Banach algebras and strongly irreducible decompositions of operators
Cao, Y; Fang, JS; Jiang, CL
2002-09-01
Source PublicationJOURNAL OF OPERATOR THEORY
ISSN0379-4024
Volume48Issue:2Pages:235-253
AbstractA bounded linear operator T on the Hilbert space H is called strongly irreducible if T does not commute with any nontrivial idempotent operator. One says that T has a finite (SI) decomposition if T can be written as the direct sum of finitely many strongly irreducible operators. In this paper, we use the K-0-group of the commutant of operators to characterize operators with unique finite (SI) decomposition up to similarity. Also we show that the K-0-group of H-infinity(Omega) is isomorphic to the integers, where Omega is simply connected.
KeywordK-0-group (SI) decomposition commutant of operators
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000179588500001
PublisherTHETA FOUNDATION
Citation statistics
Cited Times:25[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17876
Collection中国科学院数学与系统科学研究院
Affiliation1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
2.Hebei Univ Technol, Dept Math Appl, Tianjin 300130, Peoples R China
3.Jilin Univ, Dept Math, Changchun 130023, Peoples R China
Recommended Citation
GB/T 7714
Cao, Y,Fang, JS,Jiang, CL. K-groups of Banach algebras and strongly irreducible decompositions of operators[J]. JOURNAL OF OPERATOR THEORY,2002,48(2):235-253.
APA Cao, Y,Fang, JS,&Jiang, CL.(2002).K-groups of Banach algebras and strongly irreducible decompositions of operators.JOURNAL OF OPERATOR THEORY,48(2),235-253.
MLA Cao, Y,et al."K-groups of Banach algebras and strongly irreducible decompositions of operators".JOURNAL OF OPERATOR THEORY 48.2(2002):235-253.
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