关于算子值多移位相似性的简短说明

IF 0.5 4区数学 Q3 MATHEMATICS

Archiv der Mathematik Pub Date : 2024-07-11 DOI:10.1007/s00013-024-02026-5

Soumitra Ghara, Surjit Kumar, Shailesh Trivedi

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引用次数: 0

摘要

纯粹根据算子权重，我们得到了两个算子值多移位的相似性的完整表征。这概括了关于两个（多重）移位的单元等价性的几个现有结果。此外，我们还利用上述相似性标准来确定由对角核决定的某些重现核希尔伯特空间上坐标函数乘法的两个算子元组之间的相似性。

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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A short note on the similarity of operator-valued multishifts

A complete characterization of the similarity between two operator-valued multishifts with invertible operator weights is obtained purely in terms of operator weights. This generalizes several existing results of the unitary equivalence of two (multi)shifts. Further, we utilize the aforementioned similarity criteria to determine the similarity between two tuples of operators of multiplication by the coordinate functions on certain reproducing kernel Hilbert spaces determined by diagonal kernels.

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来源期刊

Archiv der Mathematik 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

117

审稿时长

4-8 weeks

期刊介绍： Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.