International Journal of Mathematics and Mathematical Sciences
Volume 28 (2001), Issue 6, Pages 359-365
doi:10.1155/S0161171201011966
Some remarks on the invariant subspace problem for hyponormal operators
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.
Abstract
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.