Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-01-01

Journal: STUDIA MATHEMATICA

Included Journals: Scopus、SCIE

Volume: 220

Issue: 3

Page Number: 277-292

ISSN: 0039-3223

Key Words: finite rank; compact perturbation; products; Toeplitz operator; Hankel operator

Abstract: We first determine when the sum of products of Hankel and Toeplitz operators is equal to zero; then we characterize when the product of a Toeplitz operator and a Hankel operator is a compact perturbation of a Hankel operator or a Toeplitz operator and when it is a finite rank perturbation of a Toeplitz operator.