%0 Journal Article %T On \(m\)-skew complex symmetric operators %A Li, Haiying %A Wang, Yaru %J Journal of Nonlinear Sciences and Applications %D 2018 %V 11 %N 6 %@ ISSN 2008-1901 %F Li2018 %X In this paper, the definition of \(m\)-skew complex symmetric operators is introduced. Firstly, we prove that \(\Delta_{m}^{-}(T)\) is complex symmetric with the conjugation \(C\) and give some properties of \(\Delta_{m}^{-}(T)\). Secondly, let \(T\) be \(m\)-skew complex symmetric with conjugation \(C\), if \(n\) is odd, then \(T^{n}\) is \(m\)-skew complex symmetric with conjugation \(C\); if \(n\) is even, with the assumption \(T^{*}CTC=CTCT^{*}\), then \(T^{n}\) is \(m\)-complex symmetric with conjugation \(C\). Finally, we give some properties of \(m\)-skew complex symmetric operators. %9 journal article %R 10.22436/jnsa.011.06.01 %U http://dx.doi.org/10.22436/jnsa.011.06.01 %P 734--745