An Isometric Embedding of the ${\mathrm{\ell }}^{\mathrm{\infty }}$ product space of two bounded subspaces of the Gromov-Hausdorff Space into the Gromov-Hausdorff Space

In this paper, we prove the ${\mathrm{\ell }}^{\mathrm{\infty }}$ product space of two bounded subspaces of the Gromov-Hausdorff space can be isometrically embedded into the Gromov-Hausdorff space.