Hyperinvariant subspaces for normaloid essential isometric operators

2020/02/21 by Bala, Neeru, Golla, Ramesh · 1 citation
#47A10 #47A15 #47A53 #47B07 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2002.09167

Abstract

In this article, we prove the existence of a non-trivial hyperinvariant subspace for a subclass of compact perturbations of scalar multiple of a partial isometry. Later, we illustrate that this class contains several important classes of operators. As a consequence, we prove that a Schatten class perturbation of a partial isometry with finite-dimensional null space has a non-trivial hyperinvariant subspace.

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