Abstract. In this note we first make a modest improvement of an inequality of Brown--Lomonosov--Simonic on certain transitive operator algebras. Then we use a result of Foias--Pasnicu--Voiculescu to provide similar inequalities for algebras generated by a quasitriangular operator.
AMS Subject Classification
Received January 3, 2008, and in revised form February 11, 2008. (Registered under 6014/2009.)