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...
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| Hauptverfasser: | , |
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| Format: | Artigo |
| Sprache: | Inglês |
| Veröffentlicht: |
Petrozavodsk State University
2025-02-01
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| Schriftenreihe: | Проблемы анализа |
| Schlagworte: | |
| Online-Zugang: | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=16510&lang=en |
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