一些新的卡迪森-辛格代数的同构性

IF 1.1 2区数学 Q1 MATHEMATICS

Banach Journal of Mathematical Analysis Pub Date : 2024-08-13 DOI:10.1007/s43037-024-00370-w

Qian Yan, Zhujun Yang, Wei Yuan, Wenming Wu

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引用次数: 0

摘要

本文构建了一些新类的卡迪森-辛格网格（KS-lattices）和卡迪森-辛格代数（KS-algebras）。这些 KS 网格由给定的 KS 网格、一些离散的投影巢和一个特殊投影决定。这些点阵的一些量被用来对这些 KS 架构进行分类。研究表明，只有当且仅当它们具有相同的量时，它们在单位上是等价的，这些 KS 架构才是同构的。

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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Isomorphism of some new Kadison–Singer algebras

Some new classes of Kadison-Singer lattices (KS-lattices) and Kadison-Singer algebras (KS-algebras) are constructed. These KS-lattices are determined by a given KS-lattice, some discrete nest of projections and one special projection. Some quantities for these lattices are used to classify these KS-algebras. It is shown that these KS-algebras are isometrically isomorphic if and only if they are unitarily equivalent if and only if they have the same quantities.

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来源期刊

Banach Journal of Mathematical Analysis 数学-数学

CiteScore

2.00

自引率

8.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Banach Journal of Mathematical Analysis (Banach J. Math. Anal.) is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Banach J. Math. 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 operator theory and all modern related topics. Banach J. Math. Anal. normally publishes survey articles and original research papers numbering 15 pages or more in the journal’s style. Shorter papers may be submitted to the Annals of Functional Analysis or Advances in Operator Theory.