A linear operator T belonging to the space \(\mathcal {L}(\mathcal {H})\) is called as “complex-self-adjoint" if there exists an antiunitary operator C such that \(T^{*} = CTC^{-1}\) . This paper investigates the spectral characteristics of complex-self-adjoint operators. Additionally, we introduce the notion of m-complex-self-adjoint operators, representing a generalization of complex-self-adjoint operators. Finally, various properties of m-complex-self-adjoint operators are examined.
