The radially deformable tubular prosthesis comprises a lattice that is deformable between a retracted state of small diameter and an expanded state of greater diameter. It includes at least two external hooks defining between them a clamp for hooking in external tissue, the two hooks being carried by the lattice and being movable between a spaced-apart position in which the clamp is open, and a closer-together position in which the clamp is closed.
