关于 p 阶的萨法尔近似性质和 $$w_p$$ - 近似性质

IF 1.1 3区 数学 Q1 MATHEMATICS Mediterranean Journal of Mathematics Pub Date : 2024-09-09 DOI:10.1007/s00009-024-02725-x
Ju Myung Kim
{"title":"关于 p 阶的萨法尔近似性质和 $$w_p$$ - 近似性质","authors":"Ju Myung Kim","doi":"10.1007/s00009-024-02725-x","DOIUrl":null,"url":null,"abstract":"<p>We characterize Saphar’s approximation property of order <i>p</i> in terms of a density of finite rank operators in the space of absolutely <i>p</i>-summing operators. We also study the approximation property of the tensor norm associated with the ideal of <i>p</i>-dominated operators.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Saphar’s Approximation Property of Order p and the $$w_p$$ -Approximation Property\",\"authors\":\"Ju Myung Kim\",\"doi\":\"10.1007/s00009-024-02725-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We characterize Saphar’s approximation property of order <i>p</i> in terms of a density of finite rank operators in the space of absolutely <i>p</i>-summing operators. We also study the approximation property of the tensor norm associated with the ideal of <i>p</i>-dominated operators.</p>\",\"PeriodicalId\":49829,\"journal\":{\"name\":\"Mediterranean Journal of Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2024-09-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mediterranean Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s00009-024-02725-x\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mediterranean Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00009-024-02725-x","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0

摘要

我们用绝对 p 和算子空间中有限秩算子的密度来描述萨法尔的 p 阶近似性质。我们还研究了与 p 主导算子理想相关的张量规范的近似性质。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
On Saphar’s Approximation Property of Order p and the $$w_p$$ -Approximation Property

We characterize Saphar’s approximation property of order p in terms of a density of finite rank operators in the space of absolutely p-summing operators. We also study the approximation property of the tensor norm associated with the ideal of p-dominated operators.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
CiteScore
1.80
自引率
0.00%
发文量
261
审稿时长
6-12 weeks
期刊介绍: The Mediterranean Journal of Mathematics (MedJM) is a publication issued by the Department of Mathematics of the University of Bari. The new journal replaces the Conferenze del Seminario di Matematica dell’Università di Bari which has been in publication from 1954 until 2003. The Mediterranean Journal of Mathematics aims to publish original and high-quality peer-reviewed papers containing significant results across all fields of mathematics. The submitted papers should be of medium length (not to exceed 20 printed pages), well-written and appealing to a broad mathematical audience. In particular, the Mediterranean Journal of Mathematics intends to offer mathematicians from the Mediterranean countries a particular opportunity to circulate the results of their researches in a common journal. Through such a new cultural and scientific stimulus the journal aims to contribute to further integration amongst Mediterranean universities, though it is open to contribution from mathematicians across the world.
期刊最新文献
Quasi-periodic Solutions for the Navier–Stokes Equation on Irrational Tori On Conformal Bi-slant Riemannian Submersions from Locally Product Riemannian Manifolds On Saphar’s Approximation Property of Order p and the $$w_p$$ -Approximation Property On a Class of Problems Related to Financial Mathematics Extensions of Braid Group Representations to the Monoid of Singular Braids
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1