Surjective L-2-isometries on the Projection Lattice
文献类型：期刊论文
| 作者 | Wang, Li Guang1; Wu, Wen Ming2; Yuan, Wei3,4 |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2021-03-25 |
| 页码 | 10 |
| 关键词 | Wigner’ s theorem L-2-isometries projections tracial weight |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-021-0306-9 |
| 英文摘要 | Recently, Geher and Semrl have characterized the general form of surjective isometries of the set of all projections on an infinite-dimensional separable Hilbert space using unitaries and antiunitaries. In this paper, we study the surjective L-2-isometries of the projection lattice of an infinite dimensional Hilbert space and show that every such isometry can also be described by unitaries and antiunitaries. |
| 资助项目 | NFS of China[11871303] ; NFS of China[11871127] ; NFS of China[11971463] ; NSF of Shandong Province[ZR2019MA039] ; Chongqing Science and Technology Commission[cstc2019jcyj-msxmX0256] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000633299600003 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58387]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wu, Wen Ming |
| 作者单位 | 1.Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China 2.Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Li Guang,Wu, Wen Ming,Yuan, Wei. Surjective L-2-isometries on the Projection Lattice[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2021:10. |
| APA | Wang, Li Guang,Wu, Wen Ming,&Yuan, Wei.(2021).Surjective L-2-isometries on the Projection Lattice.ACTA MATHEMATICA SINICA-ENGLISH SERIES,10. |
| MLA | Wang, Li Guang,et al."Surjective L-2-isometries on the Projection Lattice".ACTA MATHEMATICA SINICA-ENGLISH SERIES (2021):10. |
入库方式： OAI收割
来源：数学与系统科学研究院
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