Abstract. Some results concerning reducibility and triangularizability of some sets of algebraic and of compact operators on locally convex spaces are given.

AMS Subject Classification (1991): 47A15, 47B99, 46A13, 46A08

Keyword(s): Locally convex space, compact operator, algebraic operator, invariant subspace, triangularization

Received August 14, 2007, and in revised form October 10, 2007. (Registered under 6042/2009.)