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 , P BpHq and there exists a real number 0 , such that } 0 } " , thenwhere " inf PC } }.In particular, under some conditions, we prove thatwhich is an improvement of submultiplicative norm inequality.Also, we prove several numerical radius inequalities for products of two Hilbert space operators.
Authors
- Baharak Moosavi (ORCID: https://orcid.org/0000-0002-4643-4096)
- Mohsen Shah Hosseini (ORCID: https://orcid.org/0000-0001-9458-7196)
Publication Details
- Journal
- Problemy analiza
- Published
- 2025-02-01
- DOI
- https://doi.org/10.15393/j3.art.2025.16510
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00