Skew m-complex symmetric operators


Muneo Chō, Eungil Ko, Ji Eun Lee




In this paper we study skew m-complex symmetric operators. In particular, we show that if T ∈ L(H) is a skew m-complex symmetric operator with a conjugation C, then e itT , e −itT , and e −itT * are (m, C)-isometric for every t ∈ R. Moreover, we examine some conditions for skew m-complex symmetric operators to be skew (m − 1)-complex symmetric.