Last April, Gamestop Corp. opened a store on Facebook to generate sales among the 3.5 million-plus customers who'd declared themselves "fans" of the video game retailer. Six months later, the store was quietly shuttered.

Gamestop has company. Over the past year, Gap Inc., J.C. Penney Co. and Nordstrom Inc. have all opened and closed storefronts on Facebook Inc.'s social networking site.

Facebook, which this month filed for an initial public offering, has sought to be a top shopping destination for its 845 million members. The stores' quick failure shows that the Menlo Park, California-based social network doesn't drive commerce and casts doubt on its value for retailers, said Sucharita Mulpuru, an analyst at Forrester Research in Cambridge, Massachusetts.