| Autor: |
Patnaik, Sasmita |
| Rok vydání: |
2021 |
| Předmět: |
|
| Zdroj: |
Journal of Mathematical Analysis and Applications (2022) |
| Druh dokumentu: |
Working Paper |
| Popis: |
We investigate an algebraic variant of the Wojty\'nski problem on the simplicity of Lie algebras of compact operators on a separable infinite-dimensional complex Hilbert space. We prove the non-simplicity of Lie algebras of compact operators under a mild softness condition using the notion of soft-edged operator ideals introduced by Kaftal and Weiss. We believe our study offers a new perspective on the investigation of the simplicity of Lie algebras by relating it to the study of operator ideals. |
| Databáze: |
arXiv |
| Externí odkaz: |
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