From these pieces, one can begin to construct a hypothesis as to how elliptical galaxies form. Something that astronomers have noted is that features of elliptical galaxies are quite similar to that of the bulge within other forms of galaxies, such as the spiral or barred spiral forms. Astronomers have also noted that galaxies have a certain tendency to rip each other's spiral arms off when they pass near each other, or collide and merge into one galaxy if they pass directly through each other. So, it has been suggested that the aged elliptical galaxies we often see are in fact the core remnant of other galaxies after having been through some sort of gravitational turmoil with other galaxies, either merging into one larger elliptical galaxy or tearing enough of the outer structures off that only the bulge remains intact. Such collisions, ordinarily quite rare, would happen more often near the center of galaxy clusters, where elliptical galaxies are predominantly found. Indeed, it is thought that the future merger of our own Milky Way galaxy with the nearby Andromeda in three or four billion years will render us into one giant elliptical galaxy.
Paralleling theories regarding the evolution of the bulge in spiral galaxies, astronomers also think that the reason for the near-uniformity of the age of the stars in elliptical galaxies is because they all were created at approximately the same time in a brilliant initial burst of star formation. Also, as consistent with this theory of evolution is the existence of a supermassive black hole at their center, a remnant of when they were that bulge of a spiral galaxy.
For more on the evolution of galaxies, check out this article.