Reducible semigroups of idempotent operators
Description
Citation
| Title | Reducible semigroups of idempotent operators |
| Author(s) | L. Livshits, G. MacDonald, B. Mathes, H. Radjavi |
| Journal | Journal of Operator Theory |
| Date | 1998 |
| Volume | 40 |
| Issue | 1 |
| Start page | 35 |
| End page | 69 |
| Abstract | We study the existence of common invariant subspaces for semigroups of idempotent operators. It is known that in finite dimensions every such semigroup is simultaneously triangularizable. The question; of the existence of even one non-trivial invariant subspace is still open in infinite dimensions. Working with semigroups of idempotent operators in Hilbert/Banach vector space settings, we exploit the connection between the purely algebraic structure and the operator structure to show that the answer is affirmative in a number of cases. |
| ISSN | 0379-4024 |
Using APA 6th Edition citation style.
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