Between 1204 and 1261, the Byzantine Empire suffered another crisis: the Latin Occupation. Crusaders from Western Europe invaded and captured Constantinople in 1204, temporarily toppling the empire in an attempt to bring the eastern empire back into the fold of western Christendom. (By this point Christianity had divided into two distinct camps: eastern [Orthodox] Christianity in the Byzantine Empire and western [Latin] Christianity in the European west.)
By 1261 the Byzantine Empire was free of its western occupiers and stood as an independent empire once again, albeit markedly weakened. The breadth of the empire had shrunk, and so had its power. Nevertheless Byzantium survived until the Ottomans took Constantinople in 1453. In spite of this period of diminished wealth and stability, the arts continued to flourish in the Late Byzantine period, much as it had before.
Although Constantinople fell to the Turks in 1453—bringing about the end of the Byzantine Empire—Byzantine art and culture continued to live on in its far-reaching outposts, as well as in Greece, Italy, and the Ottoman Empire, where it had flourished for so long. The Russian Empire, which was first starting to emerge around the time Constantinople fell, carried on as the heir of Byzantium, with churches and icons created in a distinct “Russo-Byzantine” style(left). Similarly, in Italy, when the Renaissance was first emerging, it borrowed heavily from the traditions of Byzantium. Cimabue’s Madonna Enthroned of 1280–90 is one of the earliest examples of the Renaissance interest in space and depth in panel painting. But the painting relies on Byzantine conventions and is altogether indebted to the arts of Byzantium.
So, while we can talk of the end of the Byzantine Empire in 1453, it is much more difficult to draw geographic or temporal boundaries around the empire, for it spread out to neighboring regions and persisted in artistic traditions long after its own demise.