On Simultaneous Triangularization of Matrices and Quasinilpotency of Commutator of Compact Operators
Sasmita Patnaik, Rahul Sethi · arXiv (Cornell University) · 2024
In this paper we determine a sufficient condition for the quasinilpotency of a commutator of compact operators via block-tridiagonal matrix form associated with a compact operator. We also prove that every compact operator is unitarily equivalent to the sum of a compact quasinilpotent operator and a triangularizable compact operator.