Totally irreducible representations of algebras
Volume 235 / 2016
Studia Mathematica 235 (2016), 101-115 MSC: Primary 46A15; Secondary 47A58, 46H10, 46H35. DOI: 10.4064/sm8470-7-2016 Published online: 21 October 2016
The principal subject of the paper is the density in the strong operator topology of subalgebras of the algebra $L(X)$ of continuous operators in a locally convex space $X$. Besides a survey of known results we present refinements and generalizations of theorems related to the, still unsolved, problem of Fell and Doran.