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Range inclusion of operators on non-archimedean Banach space

文献类型：期刊论文

作者Wang PengHui1; Zhang Xu2,3
刊名SCIENCE CHINA-MATHEMATICS
出版日期2010-12-01
卷号53期号:12页码:3215-3224
关键词range inclusion majorization factorization non-archimedean Banach space continuous extension property
ISSN号1674-7283
DOI10.1007/s11425-010-4130-4
英文摘要In this paper, we establish some range inclusion theorems for non-archimedean Banach spaces over general valued fields. These theorems provide close relationship among range inclusion, majorization and factorization for bounded linear operators. It is found that these results depend strongly on a continuous extension property, which is always true in the classical archimedean case, but may fail to hold for the nonarchimedean setting. Several counterexamples are given to show that our results are sharp in some sense.
资助项目National Natural Science Foundation of China[10831007] ; National Natural Science Foundation of China[60821091] ; National Natural Science Foundation of China[60974035] ; National Basic Research Program of China[2011CB808002] ; Independent Innovation Foundation of Shandong University ; Spanish Ministry of Science and Innovation[MTM2008-03541]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000285366000015
出版者SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/10473]  
专题中国科学院数学与系统科学研究院
通讯作者Wang PengHui
作者单位1.Shandong Univ, Sch Math, Jinan 250100, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
3.Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China
推荐引用方式
GB/T 7714		 Wang PengHui,Zhang Xu. Range inclusion of operators on non-archimedean Banach space[J]. SCIENCE CHINA-MATHEMATICS,2010,53(12):3215-3224.
APA Wang PengHui,&Zhang Xu.(2010).Range inclusion of operators on non-archimedean Banach space.SCIENCE CHINA-MATHEMATICS,53(12),3215-3224.
MLA Wang PengHui,et al."Range inclusion of operators on non-archimedean Banach space".SCIENCE CHINA-MATHEMATICS 53.12(2010):3215-3224.

入库方式： OAI收割

来源：数学与系统科学研究院

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