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arXiv · 2401.16916

On Simultaneous Triangularization of Matrices and Quasinilpotency of Commutator of Compact Operators

Sasmita Patnaik·Rahul Sethi
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Abstract

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.

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Sasmita Patnaik, Rahul Sethi. 2024-01-30. On Simultaneous Triangularization of Matrices and Quasinilpotency of Commutator of Compact Operators. https://arxiv.org/abs/2401.16916

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