Lattice properties of partial orders for complex matrices via orthogonal projectors

Figures & data

Figure 1. The lattice $[O,B{]}^x$ with $\mathrm{rk}\left(B\right)=2$.

Figure 2. The Boolean algebra $[O,B{]}^{\ast }$.

Figure 3. The Boolean algebra $[O,B]{}^{\overline{)\mathrm{\#}}}$.

Figure 4. The lattice $[O,B]{}^{\overline{)\mathrm{\#}}}$.