1. A method of managing file space in a data access system which provides shared file access to a plurality of application support processors, comprising the steps of: keeping in a space catalog the various file space parameters associated with each logical file space assigned to a particular application support processor; creating a file space control block that information which relates to said logical file space in order to help coordinate changes which affect the amount of file space needed; building work request blocks o keep track of changes in file space consumption caused by work unit routines generated by one of the application support processors; in the event of a successful completion of a work unit routine, performing a commit operation by transferring the changes in file space consumption from the work request blocks to the space catalog as well as to the appropriate file space control block.