关于某些非csl代数的导数的注记

IF 0.6 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2022-03-17 DOI:10.1134/S0016266321040080

Chaoqun Chen, Fangyan Lu

引用次数: 0

摘要

Hilbert空间\(H\)的子空间格\(\{(0), M, N, H\}\)如果\(M\cap N =M^\perp\cap N^\perp =(0)\)和\(\dim (M^\perp \cap N)=\dim (M\cap N^\perp)\)称为广义泛型格。在这篇笔记中，我们证明了一个广义泛型格代数对其自身的每一个导数都是内的。

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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Note on Derivations of Certain non-CSL Algebras

A subspace lattice \(\{(0), M, N, H\}\) of a Hilbert space \(H\) is called a generalized generic lattice if \(M\cap N =M^\perp\cap N^\perp =(0)\) and \(\dim (M^\perp \cap N)=\dim (M\cap N^\perp)\). In this note, we show that each derivation of a generalized generic lattice algebra into itself is inner.

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来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.