Complex Symmetry of Slant H-Toeplitz Operators

IF 1.4 4区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2024-12-11 DOI:10.1007/s40995-024-01745-2

Anuradha Gupta, Deepika Singh

引用次数: 0

Abstract

In this paper complex symmetry of slant H-Toeplitz operator is studied. Necessary conditions for complex symmetry of restrictions of slant H-Toeplitz operator, namely slant Toeplitz operator and the slant Hankel operator, with respect to a weighted composition operator are explored along with counterexamples for insufficient conditions. The upper bound for the spectral radius of the slant H-Toeplitz is also obtained.

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斜H-Toeplitz算子的复对称性

本文研究了斜H-Toeplitz算子的复对称性。探讨了倾斜H-Toeplitz算子（即倾斜Toeplitz算子和倾斜Hankel算子）相对于加权复合算子的限制复对称的必要条件，并给出了不足条件的反例。得到了斜H-Toeplitz谱半径的上界。

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

Iranian Journal of Science and Technology, Transactions A: Science MULTIDISCIPLINARY SCIENCES-

CiteScore

4.00

自引率

5.90%

发文量

122

审稿时长

>12 weeks

期刊介绍： The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences