Completely p-summing maps on the operator Hilbert space OH

doi:10.1016/j.jfa.2008.06.019

CSpace

	Completely p-summing maps on the operator Hilbert space OH
	Yew, Khye Loong 1,2
	2008-09-15
发表期刊	JOURNAL OF FUNCTIONAL ANALYSIS
ISSN	0022-1236
卷号	255 期号:6 页码:1362-1402
摘要	We prove the completely p-summing ideals of OH are all equal as sets for 1 <= p < 2. A phase transition then occurs at p = 2 as we also show for p >= 2, the completely p-summing ideals of OH turn out as sets to be Schatten ideal classes with the limiting case being the Schatten 4-class ideal S-4 when p -> infinity. (c) 2008 Elsevier Inc. All rights reserved.
关键词	operator Hilbert space completely p-summing maps operator ideals operator spaces completely bounded maps
DOI	10.1016/j.jfa.2008.06.019
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000259156200003
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6373
专题	中国科学院数学与系统科学研究院
通讯作者	Yew, Khye Loong
作者单位	1.Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100864, Peoples R China
推荐引用方式 GB/T 7714	Yew, Khye Loong. Completely p-summing maps on the operator Hilbert space OH[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2008,255(6):1362-1402.
APA	Yew, Khye Loong.(2008).Completely p-summing maps on the operator Hilbert space OH.JOURNAL OF FUNCTIONAL ANALYSIS,255(6),1362-1402.
MLA	Yew, Khye Loong."Completely p-summing maps on the operator Hilbert space OH".JOURNAL OF FUNCTIONAL ANALYSIS 255.6(2008):1362-1402.