Some omega-unique and omega-P properties for linear transformations on Hilbert spaces

doi:10.1007/s10255-008-8810-6

CSpace

	Some omega-unique and omega-P properties for linear transformations on Hilbert spaces
	Miao, Xin-he 1; Huang, Zheng-hai 1; Han, Ji-ye 2
	2010
发表期刊	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN	0168-9673
卷号	26 期号:1 页码:23-32
摘要	Given 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.
关键词	Linear complementarity problem Jordan product Lorentz cone omega-P property column sufficient property omega-uniqueness property
DOI	10.1007/s10255-008-8810-6
语种	英语
资助项目	National Natural Science Foundation of China[10871144] ; Natural Science Foundation of Tianjin[07JCYBJC05200]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000272628300003
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10758
专题	中国科学院数学与系统科学研究院
通讯作者	Huang, Zheng-hai
作者单位	1.Tianjin Univ, Sch Sci, Dept Math, Tianjin 300072, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 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.