Heat the butter and oil in an 11 to 12-inch skillet over low heat. While the pan is heating, sprinkle the chops on both sides with salt and pepper, then dredge them in flour.
A couple of minutes before sauteing, increase the heat to medium-high. When the butter stops foaming and starts to smell nutty brown, arrange the chops in the skillet. Cook, turning only once, until they are a rich golden brown, about 3 minutes per side. Remove from skillet.