On Simultaneous Triangularization of Matrices and Quasinilpotency of Commutator of Compact Operators
Functional Analysis
2024-01-31 v1
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.
Keywords
Cite
@article{arxiv.2401.16916,
title = {On Simultaneous Triangularization of Matrices and Quasinilpotency of Commutator of Compact Operators},
author = {Sasmita Patnaik and Rahul Sethi},
journal= {arXiv preprint arXiv:2401.16916},
year = {2024}
}
Comments
10 pages