Abstract. We generalize the concept of the Littlewood-Richardson sequence associated with an invariant subspace of a nilpotent operator on a finite dimensional vector space to the context of $C_0$-contractions. The similarity invariants of nilpotent operators (decreasing sequences of sizes of the Jordan blocks) are replaced by the quasisimilarity invariants of $C_0$-contractions (sequences of inner functions).
AMS Subject Classification
(1991): 47A45, 47A20, 15A23
$C_0$-invariant subspaces of operators in the class
Received November 3, 1997. (Registered under 3312/2009.)