The shooting happened shortly after 2:30 p.m. near the intersection of 42nd Street and Broadway, according to the Los Angeles Police Department. Witnesses said they heard two gunshots in the parking lot of the strip mall.
The identity of the victim, whose body was covered with a sheet at the scene, was not immediately released.
Shortly after officers and paramedics responded to the location, other LAPD officers pulled over a Mercedes-Benz sedan on the 5 Freeway, near Cesar Chavez Avenue, and took a man into custody without incident. He was being questioned in connection with the shooting, investigators said.