麦卡锡-伯格曼迪里希勒数列空间上合成算子线性组合的复对称性

IF 0.7 4区数学 Q2 MATHEMATICS

Complex Analysis and Operator Theory Pub Date : 2024-03-12 DOI:10.1007/s11785-024-01489-2

Cheng-shi Huang, Zhi-jie Jiang

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引用次数: 0

摘要

完全表征了 Dirichlet 级数的 McCarthy-Bergman 空间上组成算子的复杂对称线性组合。同时还表征了这类空间上组成算子的复对称线性组合的正态性和自相接性。给出了一些图像以发现此类对称组合的一些有趣现象。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Complex Symmetry of Linear Combinations of Composition Operators on the McCarthy–Bergman Space of Dirichlet Series

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Complex Symmetry of Linear Combinations of Composition Operators on the McCarthy–Bergman Space of Dirichlet Series

The complex symmetric linear combinations of composition operators on the McCarthy–Bergman spaces of Dirichlet series are completely characterized. The normality and self-adjointness of complex symmetric linear combinations of composition operators on such spaces are also characterized. Some images are given in order to find some interesting phenomena of \({\mathcal {J}}\)-symmetric such combinations.

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来源期刊

Complex Analysis and Operator Theory 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

107

审稿时长

3 months

期刊介绍： Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, mathematical physics and other related fields. Articles using the theory of reproducing kernel spaces are in particular welcomed.