KMS Of Academy of mathematics and systems sciences, CAS
| Some omega-unique and omega-P properties for linear transformations on Hilbert spaces | |
| Miao, Xin-he1; Huang, Zheng-hai1; Han, Ji-ye2 | |
| 2010 | |
| Source Publication | ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
 |
| ISSN | 0168-9673 |
| Volume | 26Issue:1Pages:23-32 |
| Abstract | 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. |
| Keyword | Linear complementarity problem Jordan product Lorentz cone omega-P property column sufficient property omega-uniqueness property |
| DOI | 10.1007/s10255-008-8810-6 |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[10871144] ; Natural Science Foundation of Tianjin[07JCYBJC05200] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000272628300003 |
| Publisher | SPRINGER HEIDELBERG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/10758 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Huang, Zheng-hai |
| Affiliation | 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 |
| 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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