Unitary equivalences for k-circulant operator matrices with applications

IF 0.9 4区数学 Q2 MATHEMATICS

Linear & Multilinear Algebra Pub Date : 2024-02-07 DOI:10.1080/03081087.2024.2303729

Ozra Abdollahi, Saeed Karami, Jamal Rooin, Mohammad Hossein Sattari

引用次数: 0

Abstract

Let k and n be two coprime positive integers. In this paper, we show that any n×n k-circulant operator matrix Ak,n with the first row A1,…,An∈B(H) is unitarily equivalent to a generalized permutati...

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k 循环算子矩阵的单元等价及其应用

设 k 和 n 是两个共正整数。本文证明，任何 n×n k 循环算子矩阵 Ak,n 的第一行 A1,...,An∈B(H) 都等价于一个广义 permutati...

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

Linear & Multilinear Algebra 数学-数学

CiteScore

2.70

自引率

18.20%

发文量

175

审稿时长

4-8 weeks

期刊介绍： Linear and Multilinear Algebra publishes high-quality original research papers that advance the study of linear and multilinear algebra, or that include novel applications of linear and multilinear algebra to other branches of mathematics and science. Linear and Multilinear Algebra also publishes research problems, survey articles and book reviews of interest to researchers in linear and multilinear algebra. Appropriate areas include, but are not limited to: spaces over fields or rings tensor algebras nonnegative matrices inequalities in linear algebra combinatorial matrix theory numerical linear algebra representation theory Lie theory invariant theory and operator theory The audience for Linear and Multilinear Algebra includes both industrial and academic mathematicians.