Generally speaking, unless a tube amp has a sentry circuit that automatically shuts down tubes in the event of tube failure (very few tube amps have such a circuit), it is not a great idea to leave a tube amp unattended, as the above posters are correct - output tube failure can resemble the 4th of July in a worst-case scenario. My tube amp has a sentry circuit and I generally leave it on all day, and at times unattended, if I intend to listen at various times during the day.
Regarding the specific question of whether tube life in tube equipment is best extended by 24/7 operation or turning it on and off, this subject has been discussed in great detail in many threads. The short answer is that tube power amps should be turned off when not in use because output tubes (the big tubes) pass a lot of current, which is hard on them (cathode stripping). The answer for small-signal tubes (i.e., the little tubes found in preamps, DAC's, and the little driver and splitter tubes found in tube amps) is more complicated, but I generally advocate leaving them on 24/7. This very recent thread about two high-end preamps includes many of my thoughts on the subject, as well as those of the founders of Atma-Sphere and BAT, but you need to read through the entire thread because the discussion of how best to extend tube life is not the actual thread topic:
http://forum.audiogon.com/cgi-bin/fr.pl?aamps&1282891541&openfrom&1&4#1
Regarding the specific question of whether tube life in tube equipment is best extended by 24/7 operation or turning it on and off, this subject has been discussed in great detail in many threads. The short answer is that tube power amps should be turned off when not in use because output tubes (the big tubes) pass a lot of current, which is hard on them (cathode stripping). The answer for small-signal tubes (i.e., the little tubes found in preamps, DAC's, and the little driver and splitter tubes found in tube amps) is more complicated, but I generally advocate leaving them on 24/7. This very recent thread about two high-end preamps includes many of my thoughts on the subject, as well as those of the founders of Atma-Sphere and BAT, but you need to read through the entire thread because the discussion of how best to extend tube life is not the actual thread topic:
http://forum.audiogon.com/cgi-bin/fr.pl?aamps&1282891541&openfrom&1&4#1