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http://hdl.handle.net/20.500.12323/6838| Title: | New Berezin Radius Upper Bounds |
| Authors: | Gürdal, Mehmet Tapdigoglu, Ramiz |
| Issue Date: | 2023 |
| Publisher: | Institute of Mathematics and Mechanics |
| Abstract: | In this paper, we provide the new Berezin radius inequalities on the space of operators defined on a functional Hilbert space. By using these inequalities, we obtain various upper bounds for the Berezin radius of functional Hilbert space operators. We prove, in particular, the following sharp upper bound ber2 (S ∗T) ≤ 1 2ξ + 2 ber (S ∗T) |T| 2 + |S| 2 ber + ξ 2ξ + 2 |T| 4 + |S| 4 ber for arbitrary T, S ∈ B (H) and ξ ≥ 0. Other related issues are also discussed. |
| URI: | http://hdl.handle.net/20.500.12323/6838 |
| Appears in Collections: | Publication |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| New Berezin Radius Upper Bounds.pdf | 255.33 kB | Adobe PDF | View/Open |
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