Commutativity and Compactness of kth Order Slant Toeplitz Operators

被引：0

作者：

Singh, M. Premjit ^{[1
]}

Singh, Khumballambam Priyobarta ^{[1
]}

Chongtham, Elija ^{[1
]}

Singh, Oinam Nilbir ^{[1
]}

机构：

[1] Manipur Univ, Dept Math, Indo Myanmar Rd, Imphal 795003, Manipur, India

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2024年 / 18卷 / 05期

关键词：

Toeplitz operator; kth Order slant Toeplitz operator; Commutativity; Compactness; kth Order slant Toeplitz graphs; HANKEL;

D O I：

10.1007/s11785-024-01570-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页数：20

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