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On Simultaneous Triangularization of Matrices and Quasinilpotency of Commutator of Compact Operators
- Publication Year :
- 2024
-
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.<br />Comment: 10 pages
- Subjects :
- Mathematics - Functional Analysis
47B02, 47B47, 47A08, 47A10, 15A15
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2401.16916
- Document Type :
- Working Paper