CSpace
Some omega-unique and omega-P properties for linear transformations on Hilbert spaces
Miao, Xin-he1; Huang, Zheng-hai1; Han, Ji-ye2
2010
Source PublicationACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN0168-9673
Volume26Issue:1Pages:23-32
AbstractGiven a real (finite-dimensional or infinite-dimensional) Hilbert space H with a Jordan product, we introduce the concepts of omega-unique and omega-P properties for linear transformations on H, and investigate some interconnections among these concepts. In particular, we discuss the omega-unique and omega-P properties for Lyapunov-like transformations on H. The properties of the Jordan product and the Lorentz cone in the Hilbert space play important roles in our analysis.
KeywordLinear complementarity problem Jordan product Lorentz cone omega-P property column sufficient property omega-uniqueness property
DOI10.1007/s10255-008-8810-6
Language英语
Funding ProjectNational Natural Science Foundation of China[10871144] ; Natural Science Foundation of Tianjin[07JCYBJC05200]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000272628300003
PublisherSPRINGER HEIDELBERG
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/10758
Collection中国科学院数学与系统科学研究院
Corresponding AuthorHuang, Zheng-hai
Affiliation1.Tianjin Univ, Sch Sci, Dept Math, Tianjin 300072, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Miao, Xin-he,Huang, Zheng-hai,Han, Ji-ye. Some omega-unique and omega-P properties for linear transformations on Hilbert spaces[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2010,26(1):23-32.
APA Miao, Xin-he,Huang, Zheng-hai,&Han, Ji-ye.(2010).Some omega-unique and omega-P properties for linear transformations on Hilbert spaces.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,26(1),23-32.
MLA Miao, Xin-he,et al."Some omega-unique and omega-P properties for linear transformations on Hilbert spaces".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 26.1(2010):23-32.
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