The storage system exports logical storage volumes that are provisioned as storage objects. These storage objects are accessed on demand by connected computer systems using standard protocols, such as SCSI and NFS, through logical endpoints for the protocol traffic that are configured in the storage system. Logical storage volumes are created from a logical storage container having an address space that maps to storage locations of the physical data storage units. Each of the logical storage volumes so created has an address space that maps to the address space of the logical storage container. A logical storage container may span more than one storage system and logical storage volumes of different customers can be provisioned from the same logical storage container with appropriate security settings.