International Journal of Mathematics and Mathematical Sciences
Volume 28 (2001), Issue 6, Pages 359-365

Some remarks on the invariant subspace problem for hyponormal operators

Vasile Lauric

Department of Mathematics, Wheeling Jesuit University, Wheeling 26003, WV, USA

Received 11 February 2001

Copyright © 2001 Vasile Lauric. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We make some remarks concerning the invariant subspace problem for hyponormal operators. In particular, we bring together various hypotheses that must hold for a hyponormal operator without nontrivial invariant subspaces, and we discuss the existence of such operators.