Lie derivable maps on nest algebras

IF 1.2 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2024-01-25 DOI:10.1007/s43034-023-00315-8

Lei Liu, Kaipeng Li

引用次数: 0

Abstract

Let \(\mathcal {N}\) be a non-trivial nest on a Hilbert space H and \(\textrm{alg}\mathcal {N}\) be the associated nest algebra. Let \(G\in \textrm{alg}\mathcal {N}\) be an operator with \(\overline{\textrm{ran}(G)}\in \mathcal {N}\backslash \{H\}\). In this note, we give a description of Lie derivable maps and generalized Lie 2-derivable maps at G of nest algebra \(\textrm{alg}\mathcal {N}\).

查看原文本刊更多论文

巢状代数上的列可导映射

让 \(\mathcal {N}\) 是希尔伯特空间 H 上的一个非三维嵌套，并且 \(\textrm{alg}mathcal {N}\) 是相关的嵌套代数。让 \(G\in \textrm{alg}\mathcal {N}\) 是一个具有 \(\overline\textrm{ran}(G)}\in \mathcal {N}\backslash \{H\})的算子。在本注释中，我们将描述巢代数 \(text\rm{alg}\mathcal {N}\) 在 G 处的列可导映射和广义列 2 可导映射。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Annals of Functional Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

10.00%

发文量

期刊介绍： Annals of Functional Analysis is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Ann. Funct. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and all modern related topics (e.g., operator theory). Ann. Funct. Anal. normally publishes original research papers numbering 18 or fewer pages in the journal’s style. Longer papers may be submitted to the Banach Journal of Mathematical Analysis or Advances in Operator Theory. Ann. Funct. Anal. presents the best paper award yearly. The award in the year n is given to the best paper published in the years n-1 and n-2. The referee committee consists of selected editors of the journal.