Completely p-summing maps on the operator Hilbert space OH
文献类型:期刊论文
作者 | Yew, Khye Loong1,2 |
刊名 | JOURNAL OF FUNCTIONAL ANALYSIS
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出版日期 | 2008-09-15 |
卷号 | 255期号:6页码:1362-1402 |
关键词 | operator Hilbert space completely p-summing maps operator ideals operator spaces completely bounded maps |
ISSN号 | 0022-1236 |
DOI | 10.1016/j.jfa.2008.06.019 |
英文摘要 | 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. |
语种 | 英语 |
WOS记录号 | WOS:000259156200003 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6372] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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