3.(b) Suppose M? Alg L is a left (right) (L″)- module with property P. Then all finite rank operators in M are contained in ?? R ?1 (L) ???‖·‖?1 ,where R?1 (L) is the algebra generated by all rank one operators in the Ringrose ideal R (L), and ‖·‖?1 is the trace norm.
