A prosthesis (10) comprising an expandable frame (20) with a plurality of distal anchors (24) and a plurality of proximal anchors (22). The anchors extend outwardly from the frame. The frame is configured to radially expand and contract for deployment within a body cavity. When the frame is in an expanded configuration, the proximal anchors extend a significant distance away from the exterior of the frame, such as a length equal to or greater than about one half the diameter of the frame. The anchors can have looped ends. Proximal anchors extend proximally away from a proximal end of the frame and then turn to extend distally, and distal anchors extend distally away from a distal end of the frame and then turn to extend proximally.