Representatives of Steve Ballmer and Stan Kroenke, two of the richest owners in professional sports, have had multiple discussions about the Clippers joining the Rams and Chargers in the sports and entertainment district Kroenke is building in Inglewood. Five people with knowledge of the conversations told The Times the arena could either be on the 298-acre site or an adjacent parcel. Either way, an arena would drive traffic to the planned mixed-use development and share parking with the $2.6-billion football stadium scheduled to open in 2019. The exploratory talks link two titans of sports and business with a sprawling project the NFL already considers transformational. The Clippers, purchased by Ballmer for $2 billion in 2014, are tenants at Staples Center in L.A. Live. The Lakers and Kings also play in the arena, owned by Anschutz Entertainment Group. While the Clippers’ lease runs through 2024, Ballmer hasn’t hidden the desire for an arena of his own.