American has made it pretty clear they want to win Los Angeles, the way that Delta has worked to win New York. Both are major US markets, and hyper-competitive.
American has grown both with its own flights — they recently added a Sydney flight (with an improved inflight service), they’re adding Auckland, New Zealand, and they’re adding Tokyo Haneda service and Hong Kong as well not to mention Shanghai with a 787 — and those are all international routes that face competition.