关于 m 复数自相加算子

IF 1.2 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2024-06-10 DOI:10.1007/s43034-024-00349-6

Muneo Chō, Ji Eun Lee

引用次数: 0

摘要

如果存在一个反单元算子 C，使得 \(T^{*} = CTC^{-1}/)，那么属于空间 \(\mathcal {L}(\mathcal {H})\) 的线性算子 T 被称为 "复自交点"。本文研究了复自交算子的谱特征。此外，我们还引入了 m 复自交点算子的概念，它是复自交点算子的广义化。最后，我们研究了 m 复自交算子的各种性质。

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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On m-complex-self-adjoint operators

A linear operator T belonging to the space \(\mathcal {L}(\mathcal {H})\) is called as “complex-self-adjoint" if there exists an antiunitary operator C such that \(T^{*} = CTC^{-1}\). This paper investigates the spectral characteristics of complex-self-adjoint operators. Additionally, we introduce the notion of m-complex-self-adjoint operators, representing a generalization of complex-self-adjoint operators. Finally, various properties of m-complex-self-adjoint operators are examined.

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来源期刊

Annals of Functional Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

10.00%

发文量

期刊介绍： Annals of Functional Analysis is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Ann. Funct. 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 all modern related topics (e.g., operator theory). Ann. Funct. Anal. normally publishes original research papers numbering 18 or fewer pages in the journal’s style. Longer papers may be submitted to the Banach Journal of Mathematical Analysis or Advances in Operator Theory. Ann. Funct. Anal. presents the best paper award yearly. The award in the year n is given to the best paper published in the years n-1 and n-2. The referee committee consists of selected editors of the journal.