Fischer type determinantal inequalities for accretive–dissipative matrices

Let A=A11A12A21A22 be an n×nn×n accretive–dissipative matrix, k and l   be the orders of A11A11 and A22A22, respectively, and let m=min{k,l}m=min{k,l}. Then|detA|⩽a|detA11|·|detA22|,|detA|⩽a|detA11|·|detA22|,where a=23m/2,ifm⩽n/3;2n/2,ifn/3