Commutativity and Compactness of kth Order Slant Toeplitz Operators

IF 0.7 4区数学 Q2 MATHEMATICS

Complex Analysis and Operator Theory Pub Date : 2024-06-27 DOI:10.1007/s11785-024-01570-w

M. Premjit Singh, Khumballambam Priyobarta Singh, Elija Chongtham, Oinam Nilbir Singh

引用次数: 0

Abstract

In this paper, commutativity of the compressions of kth order slant Toeplitz operators is discussed. We show that the commutativity and essential commutativity of two compressions of kth order slant Toeplitz operators on \(H^2\) are same. We also establish some results on the compactness of the compressions of kth order slant Toeplitz operators. In the last section, we discuss various similarities and differences between compactness and non-compactness of these operators by simply looking at their graphs.

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k 阶斜托普利兹算子的交换性与紧凑性

本文讨论了 kth 阶斜托普利兹算子压缩的换元性。我们证明了 kth 阶斜托普利兹算子在 \(H^2\) 上的两个压缩的交换性和本质交换性是相同的。我们还建立了关于 kth 阶斜托普利兹算子压缩的紧凑性的一些结果。在最后一节，我们将通过简单地观察这些算子的图来讨论它们的紧凑性与非紧凑性之间的各种异同。

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

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.