Medium Large Transport; Low Wing; 2 Turbojet Eng
Flight Crew Instrument; Flight Crew Air Transport Pilot (ATP); Flight Crew Multiengine
Conflict Airborne Conflict; Deviation - Altitude Undershoot
Flight Crew FLC complied w / Automation / Advisory
Airspace Structure
During departure and climbout of LGB we received a TCAS RA with a Monitor Vertical Speed command. The conflicting VFR aircraft was +500 while we were level at our assigned altitude of 3;000 feet. We made sure that we complied with the command by not climbing anymore; the aircraft above cleared our path and we were given a new climb clearance to a higher altitude. We were able to see the other aircraft during the event and they appeared to remain +500 above us at all times. Once we were clear of conflict; we returned to normal operations and the flight continued without further incident.
Air Carrier Captain reported a Traffic Resolution Advisory during climb from LGB due to VFR traffic.