The invertibility of Toeplitz plus Hankel operators with subordinated operators of even index

Didenko, Victor D.1; Silbermann, Bernd2

2019-10

10.1016/j.laa.2019.05.028

LINEAR ALGEBRA AND ITS APPLICATIONS   影响因子和分区

0024-3795

1873-1856

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.

Toeplitz plus Hankel operators Matching functions Invertibility Inverse operators

SCI ; EI

英语

第一 ; 通讯

Science Challenge Project of China[TZ2018001]

Mathematics

Mathematics, Applied ; Mathematics

WOS:000478705400022

ELSEVIER SCIENCE INC

20192306998709

Linear algebra ; Mathematical techniques

Mathematics:921 ; Algebra:921.1

MATHEMATICS

Web of Science

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

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.

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.

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.