A mitral valve prosthesis and methods for implanting the prosthesis transapically (i.e., through the apex of the heart), transatrially (i.e., through the left atrium of the heart), and transseptally (i.e., through the septum of the heart). The prosthesis generally includes a self-expanding frame and two or more support arms. A valve prosthesis is sutured to the self-expanding frame. Each support arm corresponds to a native mitral valve leaflet. At least one support arm immobilizes the native leaflets, and holds the native leaflets close to the main frame.
