Range inclusion of operators on non-archimedean Banach space

doi:10.1007/s11425-010-4130-4

CSpace

	Range inclusion of operators on non-archimedean Banach space
	Wang PengHui 1; Zhang Xu 2,3
	2010-12-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	53 期号:12 页码:3215-3224
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.
关键词	range inclusion majorization factorization non-archimedean Banach space continuous extension property
DOI	10.1007/s11425-010-4130-4
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000285366000015
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10474
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.