有限维希尔伯特空间上的高阶等距交换元组

IF 1.1 3区数学 Q1 MATHEMATICS

Linear Algebra and its Applications Pub Date : 2025-10-07 DOI:10.1016/j.laa.2025.09.025

Hongxin Chen , Caixing Gu , Shuaibing Luo , Shan Wang

引用次数: 0

摘要

本文证明了有限维希尔伯特空间上的无限等距交换元组是有限等距。然后我们在有限维Hilbert空间上对任意正整数m完整地刻画了m等距交换元组。

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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Higher order isometric commuting tuples on finite dimensional Hilbert spaces

In this paper, we show that any infinite isometric commuting tuple on a finite dimensional Hilbert space is a finite isometry. We then completely characterize the m-isometric commuting tuple on a finite dimensional Hilbert space for any positive integer m.

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来源期刊

Linear Algebra and its Applications 数学-应用数学

CiteScore

2.20

自引率

9.10%

发文量

333

审稿时长

13.8 months

期刊介绍： Linear Algebra and its Applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear algebra in their algebraic, arithmetic, combinatorial, geometric, or numerical aspects. It also publishes articles that give significant applications of matrix theory or linear algebra to other branches of mathematics and to other sciences. Articles that provide new information or perspectives on the historical development of matrix theory and linear algebra are also welcome. Expository articles which can serve as an introduction to a subject for workers in related areas and which bring one to the frontiers of research are encouraged. Reviews of books are published occasionally as are conference reports that provide an historical record of major meetings on matrix theory and linear algebra.