@article {Shulman:November 2000:0022-1236:383, author = "Shulman V.S.", author = "Turovskii Y.V.", title = "Joint Spectral Radius, Operator Semigroups, and a Problem of W. Wojtynski", journal = "Journal of Functional Analysis", volume = "177", year = "November 2000", abstract = "

We investigate the connections between the invariant subspace problem for operator semigroups and the joint spectral radius. As a consequence, it is proved that any quasinilpotent Lie algebra of compact operators on a Banach space is triangularizable. We extend the Berger–Wang formula to precompact sets of essentially scalar operators and prove the continuity of the joint spectral radius on them. Copyright 2000 Academic Press.

", pages = "383-441(59)", url = "http://www.ingentaconnect.com/content/ap/fu/2000/00000177/00000002/art03640" }