I live in an apartment, and the system would be in my 13X13 ft living room with 10 ft ceilings (about 1700 cu ft). The speakers would need to be on either side of an 8 ft sliding glass door and within a foot or so of the wall. Seating is on the other side of the room ~11 ft away.
Sounds like some rather dreadful acoustics tbh. Square room of almost the same height
(can you say room modes?), glass door behind speakers, speakers almost in corners, seating position on the other side of the room. How's the house built, massive concrete / brick or drywall and a whole lotta nothing? What's the floor like?
I would very much suggest setting aside a few hundred for room treatment:
a) a massive curtain (think moving blanket-ish) to go in front of the glass door, one or two parts as deemed practical, with matching curtain rod
b) misc. absorbers for side walls and something resembling corner bass traps
c) if hard flooring - absorbers on ceiling; if thick carpet - diffusors on ceiling
d) absorber on wall behind listening position
Identify promising bounce-off points to place elements by tracing possible propagation paths from speakers to listening position. (The plan is to mainly address critical reflections, not making the room sound like an anechoic chamber.) When trying to save money, absorbers are good DIY candidates - they're literally just frames filled with mineral wool and covered in acoustic cloth.
Also, an AVR (home theater receiver) with as good a room EQ system as possible, e.g. one of the fancier Audyssey variants, would be much preferred over a traditional stereo amp in this scenario. Doesn't have to be
new by any means, but checking the model's reliability track record is very much advised.
I would also try bringing in the speakers closer to the listening position, and/or the listening position out into the room if at all possible. Maybe 6-8' distance. If bookshelves with stands are more suitable for this scenario than floorstanders, so be it.
