YES, those are minimums and maximums; some limit lower to 0° C (32° F).
I wouldn't operate at the extremes either, but I would would be concerned if I were running at 45.6° C (114° F).
The upper temperature maximum is typically the one that should concern people. This can happen if the AVR is in an enclosed cabinet or has insufficient air circulation or clearance. Bascially, anything over 40.6 C (105° F) as a contiuous, long-term operating temperature should be of concern.
As for frying eggs, they can also damage a receiver and I would recommend a skillet. By the way, I am also a gourmet cook of sorts. Go Hasty Bake!