sentences:  Krešimir III and his brother Gojslav co-ruled from 1000 until 1020, and attempted to restore control over lost Dalmatian cities now under Venetian control.Krešimir was succeeded by his son Stjepan I (1030–1058), who tried to reinforce the alliance with the Byzantines when he sent a segment of his naval fleet in war against the Arabs in 1032, in favour for their tolerance about conquering Zadar another Byzantine ally, from Venice.He did conquer it, but the circumstances changed later and lost it.