Essential commutativity and spectral properties of slant Hankel operators over Lebesgue spaces

被引：4

作者：

Datt, Gopal ^{[1
]}

Gupta, Bhawna Bansal ^{[2
]}

机构：

[1] Univ Delhi, Dept Math, PGDAV Coll, New Delhi 110065, India

[2] Univ Delhi, Dept Math, Miranda House, Delhi 110007, India

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2022年 / 63卷 / 06期

关键词：

TOEPLITZ-OPERATORS; BERGMAN SPACES;

D O I：

10.1063/5.0086628

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the commutative and spectral properties of a kth-order slant Hankel operator (k >= 2, a fixed integer) on the Lebesgue space of n-dimensional torus, T-n, where T is the unit circle, are studied. Characterizations for the commutativity and essential commutativity between higher order slant Hankel operators and slant Toeplitz operators have been obtained. The presence of an open disk in the point spectrum of a kth-order slant Hankel operator with a unimodular inducing function has also been ensured. Published under an exclusive license by AIP Publishing.

引用

页数：8

共 18 条

[1]

Ahern P, 2009, J OPERAT THEOR, V61, P301

[2] Hankel matrix transforms and operators [J].