Hyperinvariant subspaces ofC 0-operators over a multiply connected region |
| |
Authors: | Vittorino Pata Adele Zucchi |
| |
Affiliation: | (1) Dipartimento di Matematica, Università di Brescia, 25123 Brescia, Italy;(2) Dipartimento di Matematica, Università di Milano, 20133 Milano, Italy |
| |
Abstract: | In this paper we find a relation between the lattice of hyperinvariant subspaces of an operatorT of classC0 over a multiply connected region and that of its Jordan modelT. It is shown that, generally, the lattice corresponding toT can be identified with a retract of that corresponding toT. Thus the Jordan model has the smallest lattice of hyperinvariant subspaces in a given quasisimilarity class. |
| |
Keywords: | Primary 47A45 Secondary 47A60 30D55 |
本文献已被 SpringerLink 等数据库收录! |