ZLA RADAR ASSOCIATE AND ZLA RADAR CTLR RELAYED INFO ON AN OPERROR AT FL220 DURING VECTORING MANEUVERS BTWN A B737 AND W60. REQUEST FOR SECTOR 35 FLOW MGMNT REQUEST DENIED BY ZLA AND CENTRAL FLOW CTLRS.

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I WAS WORKING THE RADAR ASSOCIATE POS FOR ZLA; SECTOR 8. WE WERE ASKED BY OUR SUPVR TO KEEP OUR DEPS AT OR BELOW FL230 TO KEEP OUT OF SECTOR 35'S AIRSPACE. WE HAD A LARGE NUMBER OF ARRS TO SEQUENCE LNDG LAS VEGAS. ACFT X WAS ISSUED A HDG OF 010 DEGS TO TAKE HIM AWAY FROM THE ARRS BECAUSE WE COULDN'T CLB ABOVE THEM. WE GOT A LATE HDOF ON ACFT Y NEAR PGS VORTAC AT FL240. HE WAS HDG N; BUT WE THOUGHT HE WAS GOING TO INTERCEPT THE ARR. ON INITIAL CALL; THE RADAR CTLR DSNDED ACFT Y TO FL200 AND THEN NOTICED THAT HE WASN'T TURNING; AND ISSUED DIRECT KADDY INTXN AND ASKED HIM TO EXPEDITE THE DSCNT THROUGH FL210. HE THEN ISSUED A TURN TO 340 DEGS TO ACR X WHO WAS AT FL220. HE ASKED ACFT Y TO BE AT OR BELOW FL210 IN 3 MINS OR LESS; AND THE PLT ACKNOWLEDGED IT. SEPARATION WAS LOST 3.9 NM AND 300 FT. WITH 6 CTR SECTORS FEEDING SECTOR 35; WE NEED BETTER FLOW THAN WHAT WE HAD. WE ALSO NEED TO PUSH AHEAD WITH THE SECTOR 35 SPLIT TO GIVE US A CHANCE. SUPPLEMENTAL INFO FROM ACN 618386: ADDITIONAL VERBAL COORD (BY ME) WAS ATTEMPTED TO TURN ACFT Y DIRECT KADDY AND I BELIEVED THE SECTOR 35 CTLR HAD DONE SO. I ISSUED AN EXPEDITED DSCNT CLRNC. AS I WAS DOING SO; IT BECAME APPARENT THAT ACFT Y WAS INDEED NOT DIRECT KADDY; SO I ENDED THE CLRNC BY REITERATING DIRECT KADDY. IT BECAME APPARENT THIS ACTION WOULD BE INSUFFICIENT TO RESOLVE THE CONFLICT; SO I TURNED ACR X AND ATTEMPTED TO GET ACFT Y TO RPT VERBALLY AT OR BELOW FL210 -- WHICH RPT WAS RECEIVED 10 SECONDS LATER -- BUT 4 SECONDS TOO LATE TO PREVENT LOSS OF APPROVED SEPARATION. IT IS MY OPINION THAT HAD ACTIONS IMPLEMENTING THE NECESSARY TFC MGMNT RESTRS FOR SECTOR 35 BEEN TAKEN WHEN REQUESTED PREVIOUSLY (AND DENIED) NEITHER SECTOR WOULD HAVE BEEN AS BUSY OR COMPLEX AS THEY BECAME DURING THIS PERIOD. THIS UNCOOPERATIVE APCH TO PROVIDING TFC RESTRS TO AVOID THIS TYPE SCENARIO HAS BEEN A FACTOR IN PREVIOUS NEAR LOSSES OF APPROVED SEPARATION IN THE PAST. CENTRAL AS WELL AS LCL TFC MGMNT SEEM TO THINK (PROJECT THE ATTITUDE) THAT LAS VEGAS ARR TFC DOES NOT WARRANT ISSUANCE OF THOSE RESTRS. I FEEL THE ABOVE SCENARIO REVEALS OTHERWISE.