@Article{CMR-41-59,
author = {Dou , RuiRuan , Xiaolong and Zhu , Sen},
title = {Commutators of Complex Symmetric Operators},
journal = {Communications in Mathematical Research },
year = {2025},
volume = {41},
number = {1},
pages = {59--68},
abstract = {<p style="text-align: justify;">Let $C$ be a conjugation on a separable complex Hilbert space $\mathcal{H}.$ An
operator $T$ on $\mathcal{H}$ is said to be $C$-symmetric if $CTC = T^∗,$ and $T$ is said to be $C$-skew symmetric if $CTC=−T^∗$. It is proved in this paper that each $C$-skew symmetric operator can be written as the sum of two commutators of $C$-symmetric
operators.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.4208/cmr.2024-0053},
url = {http://global-sci.org/intro/article_detail/cmr/23931.html}
}