New York Journal of Mathematics
Volume 10 (2004) 83-88


Alan Lambert

Hyperinvariant subspaces and extended eigenvalues

Published: March 31, 2004
Keywords: Extended eigenvalues, hyperinvariant subspaces
Subject: 47A15, 47A62

An extended eigenvalue for an operator A is a scalar λ for which the operator equation AX = λ XA has a nonzero solution. Several scenarios are investigated where the existence of non-unimodular extended eigenvalues leads to invariant or hyperinvariant subspaces.

Author information

Department of Mathematics, University of North Carolina at Charlotte, Charlotte, NC 28223 ,USA