A C560 CREW; WHEN DEPARTING LGB; USED A CLOSED RWY FOR TKOF.

Narrative

ON MAR/FRI/02; I WAS PIC ON A FLT FROM LONG BEACH; CA; TO THERMAL; CA. THE FLT DEPARTED LGB AT APPROX XA45. IT WAS DISCOVERED AFTER THE FACT THAT WE HAD INADVERTENTLY DEPARTED A RWY THAT WAS CLOSED TO ACFT OPS BTWN THE HRS OF XA00 AND XJ00. DISPATCH CALLED ME AFTER I HAD RECEIVED ONLY 2 HRS SLEEP FOR A TRIP. WE HAD LEGAL REST; BUT WERE NOT PLANNING ON FLYING UNTIL XE30 ON A DIFFERENT TRIP. IN MY PREFLT EFFORTS; I CALLED FSS AND OBTAINED CURRENT AND FORECAST WX PLUS CURRENT NOTAMS. THERE WAS NO MENTION OF RWY CLOSURES. THE LONG BEACH ARPT CHARTS HAD BEEN LOST WHEN THE ACFT WAS IN FOR MAINT; SO I HAD TO WAIT FOR A FAXED COPY TO BE SENT. THE TWR WAS CLOSED AND THERE WAS NO MENTION OF RWY CLOSURES ON THE ATIS FREQ EITHER; SO WE ELECTED TO TAXI TO THE RWY THAT WAS THE MOST FAVORED BY THE WINDS. IN THIS CASE; IT WAS RWY 25R. IT WAS ONLY AFTER WE TOOK OFF AND I WAS ORGANIZING THE CHARTS THAT I NOTICED THE NOTES ABOUT RWY CLOSURES. WHEN WE REVIEWED THE DEP PROC BEFORE TKOF I SAW THE RWY NOTES; BUT ALL I NOTICED WERE ITEMS PERTAINING TO ACFT WTS; LIGHTS; AND NOISE ABATEMENT INFO. I NEVER NOTICED THE INFO ABOUT RWY CLOSURES AND IT NEVER CROSSED MY MIND THAT A RWY WOULD BE CLOSED WITHOUT A NOTAM OR NOTE ON THE ATIS. A FACTOR WAS THE DIFFICULTY IN READING THE FAXED CHARTS AND FATIGUE. I WOULD SUGGEST NOTING THE RWY CLOSURES ON THE ATIS SO THE INFO IS NOT SO OBSCURE AND EASILY OVERLOOKED.