Jamieson, Fausset and Brown on Daniel 8:11

11. to the prince of the host--that is, God Himself, the Lord of Sabaoth, the hosts in heaven and earth, stars, angels, and earthly ministers. So Da 8:25, "he shall stand up against the Prince of princes"; "against the God of gods" (Da 11:36; compare Da 7:8). He not only opposes God's ancient people, but also God Himself.

daily sacrifice--offered morning and evening (Ex 29:38, 39).

taken away--by Antiochus (1 Maccabees 1:20-50).

sanctuary ... cast down--Though robbed of its treasures, it was not strictly "cast down" by Antiochus. So that a fuller accomplishment is future. Antiochus took away the daily sacrifice for a few years; the Romans, for many ages, and "cast down" the temple; and Antichrist, in connection with Rome, the fourth kingdom, shall do so again after the Jews in their own land, still unbelieving, shall have rebuilt the temple, and restored the Mosaic ritual: God giving them up to him "by reason of transgression" (Da 8:12), that is, not owning the worship so rendered [Tregelles]; and then the opposition of the horn to the "truth" is especially mentioned.