Heat 2 tablespoons of the olive oil in a skillet and sauté the bell peppers and garlic for 2-4 minutes.
Add artichokes, olives, capers, and caper juice and sauté a couple minutes more.
Toss the pasta with the sautéed vegetables and 2 tablespoons of olive oil, lemon juice, basil, salt, pepper, and Parmesan. Serve cold or at room temperature.