NMAC DUE TO PROX TO VFR TFC WHILE RESPONDING TO 3 DSND CLB TCASII RA'S. NO TFC HAD BEEN ISSUED BY THE CTLR PRIOR TO FREQ CHANGE TO ANOTHER CTLR. SECOND CTLR ASKED WHETHER PREVIOUS CTLR HAD ISSUED THE TFC.

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MY ACFT WAS CLRED OUT OF BUR ON THE ELMO 5 DEP TO JOIN V- 186 (SE) AND TO EXPECT RV TO JOIN V-23 SLI DIRECT LGB. WHILE ON V-186 APPROX 6 NM PAST ELMO INTXN; ATC (SOCAL) STATED; 'THE FOLLOW-ON ATC FACILITY IS NOT READY TO ACCEPT YOUR HDOF; TURN L IMMEDIATELY TO HDG 270 DEGS.' AFTER PASSING 350 DEGS; ATC CAME BACK AND STATED; 'SOCAL IS NOW READY FOR YOU; MAKE A R TURN AND PROCEED OWN NAV TO REJOIN V-186; CONTACT SOCAL ON X FREQ.' AS WE MADE THE R TURN; WE RECEIVED A TCASII RA WITH A DSND/DSND COMMAND. WE COMPLIED ONLY TO RECEIVE A SUBSEQUENT RA WITH CLB COMMANDS. BEFORE I COULD CONTACT SOCAL WE RECEIVED OUR THIRD RA. AFTER THE 3 MANEUVERING EVENTS I MADE CONTACT WITH SOCAL. THE NEW CTLR ASKED; 'DIDN'T THE PREVIOUS CTLR ISSUE TA'S?' MY ANSWER WAS NO. WE PROBABLY DIDN'T DEVIATE MORE THAN PLUS OR MINUS 600 FT FROM OUR ASSIGNED 7000 FT ALT. BASICALLY; A LOT TOOK PLACE DURING THE VECTOR OFF V- 186. UNFORTUNATELY; MOST OF THE MANEUVERING (TCASII RA) HAPPENED DURING A FREQ CHANGE AND WITHOUT ANY TA'S FROM ATC.