Title: Fischer type determinantal inequalities for accretive-dissipative matrices

Abstract: The well known Fischer determinantal inequality for positive definite matrix says that the determinant of a partitioned matrix is bounded by the product of the determinant of its diagonal blocks. We investigate this type of inequality when the underlying matrix is accretive-dissipative, that is, the matrix whose real and imaginary part (in the Cartesian decomposition) are both positive definite.