I can't find any previous mentions of the Wilcrest Apartment Hotel at 611-619 S Normandie Avenue. It's just north of Wilshire, and right next door to the Chateau La Martine mentioned recently by
e_r (see
here). The seller dates the postcard as 1940s.
eBay
The sign outside now appears to say something like "Normandie Garden Apartments", but Googling that gives a different building. Have you still got that chainsaw handy,
GW?
GSV