Indexed by:
Journal Papers
First Author:
Li, Ran
Correspondence Author:
Yang, YX (reprint author), Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China.
Co-author:
Yang, Yixin,Lu, Yufeng
Date of Publication:
2020-09-15
Journal:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Included Journals:
SCIE
Document Type:
J
Volume:
489
Issue:
2
ISSN No.:
0022-247X
Key Words:
Toeplitz operator; Complex symmetric operator; Berezin transform
Abstract:
An operator T epsilon B(H) is complex symmetric if there exists a conjugation Con Hso that CTC= T*. In this paper, we characterize the complex symmetric Toeplitz operator on the Hardy and Bergman space. In particular, we show that the Toeplitz operator induced by the Berezin transform of a complex symmetric operator on Hardy space is also complex symmetric with the same conjugation. However, we see that this is not true for Bergman space by providing some examples. (C) 2020 Elsevier Inc. All rights reserved.
Translation or Not:
no
