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A HILBERT SPACE PROBLEM BOOKJournal of The London Mathematical Society-second Series
- Publisher
- Springer Journals
- Copyright
- Copyright © Tusi Mathematical Research Group (TMRG) 2020
- ISSN
- 2662-2009
- eISSN
- 2538-225X
- DOI
- 10.1007/s43036-019-00035-8
- Publisher site
- See Article on Publisher Site
Abstract
In this article, we establish several Berezin number inequalities for the quadratic weighted operator geometric mean of operators on reproducing kernel Hilbert spaces and numerical radius inequalities for operators having similar positive parts. We also provide a concluding section which revisits the connection between the numerical radius and generalized inverses, and may spark new problems for future research interest.
Journal
Advances in Operator Theory – Springer Journals
Published: Jul 24, 2020