NEW NORM INEQUALITIES FOR COMMUTATORS OF HILBERT SPACE OPERATORS
New norm inequalities for commutators of Hilbert space operators are given. Among other inequalities, it is shown that if $A, B \in \mathbb{B}(\mathbb{H})$ and there exists a real number $z_0$, such that $||A-z_0I|| = D_A$, then \[ ||AB \pm BA^*|| \le 2D_A||B||, \] where $D_A = \underset{\l...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Petrozavodsk State University
2025-02-01
|
| Series: | Проблемы анализа |
| Subjects: | |
| Online Access: | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=16510&lang=en |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Be the first to leave a comment!