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Abstract
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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

Vasile Lauric

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

Received 11 February 2001

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.