The second nonlinear mixed Lie triple derivations on standard operator algebras

IF 0.8 4区数学 Q2 MATHEMATICS

Georgian Mathematical Journal Pub Date : 2023-11-19 DOI:10.1515/gmj-2023-2086

Nadeem ur Rehman, Junaid Nisar, Bilal Ahmad Wani

引用次数: 0

Abstract

Let 𝒜

{\mathcal{A}}

be a standard operator algebra containing the identity operator I on an infinite dimensional complex Hilbert space ℋ

{\mathcal{H}}

which is closed under adjoint operation. Suppose that ϕ : 𝒜 → 𝒜

{\phi:\mathcal{A}\to\mathcal{A}}

is the second nonlinear mixed Lie triple derivation. Then ϕ is an additive ∗

{\ast}

-derivation.

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标准算子代数上的第二类非线性混合李三元导数

设{\mathcal{A}}是包含无穷维复希尔伯特空间H {\mathcal{H}}上的单位算子I的标准算子代数，该空间在伴随运算下闭合。设φ: φ→φ {\phi:\mathcal{A}\到\mathcal{A}}是第二个非线性混合李氏三重导数。则φ是一个可加的* (\ \ast)导数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Georgian Mathematical Journal 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Georgian Mathematical Journal was founded by the Georgian National Academy of Sciences and A. Razmadze Mathematical Institute, and is jointly produced with De Gruyter. The concern of this international journal is the publication of research articles of best scientific standard in pure and applied mathematics. Special emphasis is put on the presentation of results obtained by Georgian mathematicians.