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On local-to-global properties of semigroups of operators
by
Heydar Radjavi
University of Waterloo
Let S be a semigroup of operators with no common, nontrivial, invariant subspaces. What can be said about S if there exists a nonzero linear functional f (on all operators) whose restriction to S takes only real values or, more restrictively, only positive values? Even when confined to compact operators, not all the questions have trivial answers.
Date received: April 23, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawx-14.