Birnbaum-Orlicz spaces of functions on groups

It is natural to ask how far the theory of closed invariant subspaces for 2 P (G) can be extended to Birnbaum-Orlicz spaces A (G). If G is a compact group and A satisfies the 2condition for M ^ M 0 = 0, the class of all closed invariant subspaces of 2 (G) is exactly the family {(%A)P' P C} where is the dual object of G. Distinct subsets of engender distinct