Shake Shack has confirmed that it will be opening a Westlake Village location in late 2018. It will be located at The Promenade at Westlake, I believe in the space soon to be vacated by Public School 805.
Shake Shack, a publicly traded company (Symbol: SHAK) with a $2.5 billion market cap, started out as a hot dog cart inside Madison Square Garden in 2001 and today operates in over 160 locations. www.shakeshack.com.
If you're looking to try a Shake Shack before the Westlake location opens, there are locations at LAX, Glendale, Hollywood, West Hollywood, Century City, Downtown LA and El Segundo.