A technique for managing host data in a data storage apparatus having a storage processor (SP) provides virtualized storage processors (VSPs) as substantially self-describing and independent entities. Each VSP has its own namespace, independent of the namespace of any other VSP. Each VSP also has its own network address. Hosts may thus access VSPs directly, without having to include path information relative to the SP on which the VSP is operated. VSPs can thus be moved from one physical SP to another with little or no disruption to hosts, which may continue to access the VSPs on the new SPs using the same paths as were used when the VSPs were running on the original SPs.