Implantable prosthesis (100, 200, 200 ', 300) consisting of: an adherent part (102, 202, 202', 302) that can form adhesions with organic tissues, the adherent part having a first peripheral edge (102a, 202a, 302a)； a non-adherent part (104, 204, 204 ', 304), which inhibits the formation of adhesions with the tissues, integral with the adherent part and which has a second peripheral edge (104a, 204a, 304a), the first peripheral edge being (102a) retracted with respect to the second peripheral edge (104a) so as to partially discover the non-adherent part, defining, between the first peripheral edge and the second peripheral edge, a non-adherent peripheral band (106) surrounding the adherent part ( 102)； the adherent part (102, 202, 202 ', 302) having a central part (110, 210, 210', 310) and having a star shape comprising a plurality of branches (108, 208, 208 ', 308) which they extend from the central part of the adherent part, the adherent part consisting of a plurality of notches (109), each notch being located between two adjacent branches.Prótesis implantable (100, 200, 200', 300) que consta de: una parte adherente (102, 202, 202', 302) que puede formar adherencias con tejidos orgánicos, presentando la parte adherente un primer borde periférico (102a, 202a, 302a)； una parte no adherente (104, 204, 204', 304), que inhibe la formación de adherencias con los tejidos, solidaria a la parte adherente y que presenta un segundo borde periférico (104a, 204a, 304a), estando el primer borde periférico (102a) retraído con respecto al segundo borde periférico (104a) de manera a descubrir parcialmente la parte no adherente, definiendo, entre el primer borde periférico y el segundo borde periférico, una banda periférica no adherente (106) que rodea la parte adherente (102)； teniendo la parte adherente (102, 202, 202', 302) una parte central (110, 210, 210', 310) y presentando una forma de estrella que comprende una pluralidad de ramas (108, 208, 208', 308) que se extienden desde
