The word "Brahman" indicates the complete Supreme Personality of Godhead, who is Sri Krsna. That is the verdict of all Vedic literature. Sri Caitanya Mahaprabhu , (Sri Caitanya-caritamrta Madhya-lila 6.147)

Who, other than one who is not a human being, can exist in th is world and not be interested in the ultimate goal of life? Who can refuse the nectar of narrations about the Personality of Godhead's activities, which by itself can deliver one from all material pangs? (Maitreya Rsi Srimad-Bhagavatam 3.13.50)