Interesting interpretation by Aluf Benn in Haaretz:
Barak believes in the "leverage and pressure" method - first employed by Israel during Operation Accountability, in Lebanon in the summer of 1993. In this method, which Barak likes to demonstrate through the use of hand gestures and timetables, the goal of the warfare is to obtain a reasonable cease-fire arrangement between Israel and its adversary, whether Hezbollah or Hamas. The tactic is to apply pressure on the enemy's "state patron." Israeli firepower, or the threat of such, demonstrated through a wide call-up of reserve troops, is intended to signal to the patron state that its proteges are at risk of receiving a massive blow and it must intervene to calm the situation.
Egypt is the state patron of Hamas in the current round, and Israel's actions are aimed at prodding the new rulers in Cairo to stop the fighting and to act as guarantor of a future cease-fire. That is the role played by Syria and Iran, Hezbollah's sponsors, in the rounds of fighting in Lebanon. "It is obvious that Egypt's Muslim Brotherhood regime provides a tailwind for Hamas in Gaza," together with economic aid from Qatar, Barak said last Sunday during a lecture. He also warned that Israel would not quail at any military measure in order to restore calm and security to Israelis living near the Gaza border.