{"title":"Lp-isometries of Grassmann spaces in\\\\ factors of type II","authors":"Wei Shi, Junhao Shen, Weichen Gu, Minghui Ma","doi":"10.7900/jot.2020sep30.2352","DOIUrl":null,"url":null,"abstract":"Let M be a factor of type II with a faithful normal semifinite tracial weight τ, and P the set of all projections in M. Denote by Pc the Grassmann space of all projections in P with trace c, where c is a positive real number. The aim of this paper is to describe the general form of Lp-isometries between Grassmann spaces in a factor of type II. Moreover, we prove that, when $0","PeriodicalId":50104,"journal":{"name":"Journal of Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2022-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Operator Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7900/jot.2020sep30.2352","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 3
Abstract
Let M be a factor of type II with a faithful normal semifinite tracial weight τ, and P the set of all projections in M. Denote by Pc the Grassmann space of all projections in P with trace c, where c is a positive real number. The aim of this paper is to describe the general form of Lp-isometries between Grassmann spaces in a factor of type II. Moreover, we prove that, when $0
期刊介绍：
The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
