Look out, Barnes & Noble(BKS) - Get Report .

Amazon's  (AMZN) - Get Report  books subsidiary applied for building permits for a 5,227 square-foot suite in the Westfield Century City mall in Los Angeles, the Los Angeles Business Journal reported Friday. The mall, which is located in Los Angeles' commercial district, is currently undergoing a $1 billion renovation. 

The project application was submitted May 9 and received an initial plan approval the same day, but there has been no building permit yet issued as of Thursday afternoon, the Los Angeles Business Journal reported.

Clearly, Amazon is showing signs that it wants to take book retailing to the next level.

Amazon plans to soon open its first New York City bookstore in Manhattan's Time Warner Center. The 4,000-square-foot location is scheduled to swing open its doors sometime this year inside a sprawling complex that also houses several upscale restaurants and a Coach (COH)  store. In early April, Amazon said it will bring its second bookstore store in NYC to W. 34th St. near the Empire State Building.

Barnes & Noble arguably hasn't had a competitor in New York City since Borders went bust in 2011, which led to the closing of its stores. B&N currently operates seven stores in New York City.

Jeff Bezos' creation is no stranger to running physical bookstores. Amazon opened its first brick-and mortar bookstore in Seattle in 2015, and has since moved quickly to add two others in San Diego and Portland, Ore. It also is reportedly well down the path of opening stores in Chicago and Massachusetts.

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