Atomic lattices of subspaces of an arbitrary vector space and associated operator algebras

IF 0.6 4区数学 Q3 MATHEMATICS

Operators and Matrices Pub Date : 2022-01-01 DOI:10.7153/oam-2022-16-73

D. Hadwin, K. Harrison

引用次数: 0

Abstract

. We study a class of completely distributive, commutative, lattices of subspaces of an arbitrary vector space, and associated operator algebras. Our results are compared with corresponding results for commutative lattices of closed subspaces of a Hilbert space and associated algebras of bounded linear operators.

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任意向量空间子空间的原子格及相关算子代数

．研究了任意向量空间的完全分配、交换、子空间的格和相关算子代数。我们的结果与Hilbert空间的闭子空间的交换格和有界线性算子的相关代数的相应结果进行了比较。

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

Operators and Matrices 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

7 months

期刊介绍： ''Operators and Matrices'' (''OaM'') aims towards developing a high standard international journal which will publish top quality research and expository papers in matrix and operator theory and their applications. The journal will publish mainly pure mathematics, but occasionally papers of a more applied nature could be accepted. ''OaM'' will also publish relevant book reviews. ''OaM'' is published quarterly, in March, June, September and December.