The invention provides an implantable prosthesis (100) comprising:an adhesive portion (102) that is capable of forming adhesions with organic tissues, the adhesive portion presenting a first peripheral edge (102a) and；a non-adhesive portion (104) that inhibits the formation of adhesions with tissues, that is secured to the adhesive portion, and that presents a second peripheral edge (104a), the first peripheral edge (102a) being set back from the second peripheral edge (104a) so as to uncover the non-adhesive portion, in part, defining, between the first peripheral edge and the second peripheral edge, a non-adhesive peripheral band (106) that surrounds the adhesive portion (102)；the adhesive portion (102) has a central portion, and presents the shape of a star that includes a plurality of branches (108) that extend from the central portion, the adhesive portion having a plurality of notches (109) that are situated between the branches.
