题名 | The invertibility of Toeplitz plus Hankel operators with subordinated operators of even index |
作者 | |
通讯作者 | Didenko, Victor D. |
发表日期 | 2019-10
|
DOI | |
发表期刊 | |
ISSN | 0024-3795
|
EISSN | 1873-1856
|
卷号 | 578页码:425-445 |
摘要 | Toeplitz plus Hankel operators T(a) + H(b) acting on Hardy spaces H-P(T), p is an element of(1, infinity), where T is the unit circle, are studied. If the functions a, b is an element of L-infinity(T) satisfy the relation a(t)a(1/t) = b(t)b(1/t), t is an element of T and the Toeplitz operators T(ab(-1)) and T(a (b) over tilde (-1)), (b) over tilde (t) = b(1/t) have even indices, necessary and sufficient conditions for the invertibility of T(a) + H(b) are established and efficient formulas for their inverses are obtained. Moreover, it is shown that for any n is an element of N there are invertible operators T(a) + H(b) such that ind T(ab(-1)) = -2n and ind T(a (b) over tilde (-1)) = 2n. (C) 2019 Elsevier Inc. All rights reserved. |
关键词 | |
相关链接 | [来源记录] |
收录类别 | |
语种 | 英语
|
学校署名 | 第一
; 通讯
|
资助项目 | Science Challenge Project of China[TZ2018001]
|
WOS研究方向 | Mathematics
|
WOS类目 | Mathematics, Applied
; Mathematics
|
WOS记录号 | WOS:000478705400022
|
出版者 | |
EI入藏号 | 20192306998709
|
EI主题词 | Linear algebra
; Mathematical techniques
|
EI分类号 | Mathematics:921
; Algebra:921.1
|
ESI学科分类 | MATHEMATICS
|
来源库 | Web of Science
|
引用统计 |
被引频次[WOS]:3
|
成果类型 | 期刊论文 |
条目标识符 | http://sustech.caswiz.com/handle/2SGJ60CL/25126 |
专题 | 理学院_数学系 |
作者单位 | 1.Southern Univ Sci & Technol, Dept Math, 1088 Xueyuan Ave, Shenzhen 518055, Guangdong, Peoples R China 2.Tech Univ Chemnitz, Fak Math, D-09107 Chemnitz, Germany |
第一作者单位 | 数学系 |
通讯作者单位 | 数学系 |
第一作者的第一单位 | 数学系 |
推荐引用方式 GB/T 7714 |
Didenko, Victor D.,Silbermann, Bernd. The invertibility of Toeplitz plus Hankel operators with subordinated operators of even index[J]. LINEAR ALGEBRA AND ITS APPLICATIONS,2019,578:425-445.
|
APA |
Didenko, Victor D.,&Silbermann, Bernd.(2019).The invertibility of Toeplitz plus Hankel operators with subordinated operators of even index.LINEAR ALGEBRA AND ITS APPLICATIONS,578,425-445.
|
MLA |
Didenko, Victor D.,et al."The invertibility of Toeplitz plus Hankel operators with subordinated operators of even index".LINEAR ALGEBRA AND ITS APPLICATIONS 578(2019):425-445.
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条目包含的文件 | ||||||
文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | 操作 | |
Didenko-2019-The inv(399KB) | -- | -- | 限制开放 | -- |
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