Classes of Operators Related to a Complex Conjugation Operator

The aim of this work is to introduce the concepts of left-(m, C)-invertibility and right (m, C)-invertibility related to a given complex conjugation operator C on a Hilbert space \(\mathcal {Y}\) $\mathcal{Y}$ . Some properties of these families of operators are given. In particular, we study the product and tensor product of some members of such families.