II型因子中Grassmann空间的Lp等距

IF 0.7 4区数学 Q2 MATHEMATICS Journal of Operator Theory Pub Date : 2022-03-15 DOI:10.7900/jot.2020sep30.2352

Wei Shi, Junhao Shen, Weichen Gu, Minghui Ma

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引用次数: 3

摘要

设M是II型因子，具有忠实的正态半轨道迹权τ，P是M中所有投影的集合。用Pc表示P中所有投影与迹c的Grassmann空间，其中c是正实数。本文的目的是描述在一个类型为II的因子中Grassmann空间之间的Lp等距的一般形式。此外，我们证明，当$0

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Lp-isometries of Grassmann spaces in\\ factors of type II

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

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来源期刊

Journal of Operator Theory 数学-数学

CiteScore

1.30

自引率

12.50%

发文量

审稿时长

12 months

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.

期刊最新文献

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