E-viri
Recenzirano
-
Li, Ran; Yang, Yixin; Lu, Yufeng
Journal of mathematical analysis and applications, 09/2020, Letnik: 489, Številka: 2Journal Article
An operator T∈B(H) is complex symmetric if there exists a conjugation C on H so 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.
