INVERTIBILITY AND INVERSES OF TOEPLITZ PLUS HANKEL OPERATORS

被引：5

作者：

Didenko, Victor D. ^{[1
]}

Silbermann, Bernd ^{[2
]}

机构：

[1] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

[2] Tech Univ Chemnitz, Fak Math, D-09107 Chemnitz, Germany

来源：

JOURNAL OF OPERATOR THEORY | 2017年 / 78卷 / 02期

关键词：

Toeplitz plus Hankel operators; matching functions; invertibility; inverses; FREDHOLM; INDEX;

D O I：

10.7900/jot.2016aug12.2131

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Necessary conditions for the invertibility of Toeplitz plus Hankel operators T (a) + H (b) with generating functions a, b is an element of L-infinity (T) satisfying the relation a (t) a (1/t) = b (t) b (1/t), t is an element of T are obtained. In addition, sufficient conditions for the invertibility of such operators are also provided and efficient representations for the corresponding inverses are derived.

引用

页码：293 / 307

页数：15

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