AA is already getting some of the highest local (O&D) fares of any of the carriers in this market - and flies a lot of mainline capacity, and yet you'd like to see AA add even more capacity on an already over-crowded route?
Here are the average one-way fares for LAX-SFO (and vv) for the third quarter of 2014 (latest data available):
UA - $138.45
AA - $138.27
VX - $137.86
DL - $128.89
WN - $115.10
I'd say that AA is winning, as best it can hope to win in a very over-crowded, over-served, low-fare market. Compared to intra-Texas one-way fares, these are very low. In Texas, WN is getting much higher average fares between DAL and HOU/SAT/AUS, etc.
What needs to happen is for VX to run out of money, run out of funding sources, and go out of business. That would help some.
There are no slot controls. AA could fly as many flights on this route as it could fit at the gates and for which it had spare planes.