Strange electrical/starting problem - 90q

[Thom Jones]

I'm trying to decipher this one and the best I can come up with is a weak
battery.  But thought I'd inquire here before just replacing it.
Symptoms:
After several days of starting the car, it finally will slowly grind down to
a no start/dead battery.
However, after charging, the battery holds at a steady 12.7x volts even for
a couple days which would indicate to me that there is nothing in the
electrical draining the battery.
So, I thought it was the alternator.
But when running, the alternator is putting out 14+volts - the battery just
doesn't seem to take the charge (have to actually put it on a trickle charge
overnight and things are fine for another couple days).
Strangely, this seemingly started happening after I took off the air
conditioner compressor belt (yep - I'm sure it was the compressor and not
the alternator whose belt I removed).  I'm sure this is just a coincidence,
but......

Any thoughts?
Thanks much!
Thom