| dc.creator |
Başaran, Hamdullah |
|
| dc.creator |
GÜRDAL, Mehmet |
|
| dc.date |
2023-06-23T00:00:00Z |
|
| dc.date.accessioned |
2025-02-25T10:35:20Z |
|
| dc.date.available |
2025-02-25T10:35:20Z |
|
| dc.identifier |
a1b6964e-5568-41c6-a352-8603df6ca3c0 |
|
| dc.identifier |
10.31801/cfsuasmas.1160606 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/a1b6964e-5568-41c6-a352-8603df6ca3c0/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/100789 |
|
| dc.description |
For a bounded linear operator $A$ on a functional Hilbert space $mathcal{H}left( Omegaright) $, with normalized reproducing kernel $widehat {k}_{eta}:=frac{k_{eta}}{leftVert k_{eta}rightVert _{mathcal{H}}},$ the Berezin symbol and Berezin number are defined respectively by $widetilde{A}left( etaright) :=leftlangle Awidehat{k}_{eta},widehat{k}_{eta}rightrangle _{mathcal{H}}$ and $mathrm{ber}(A):=sup_{etainOmega}leftvert widetilde{A}{(eta)}rightvert .$ A simple comparison of these properties produces the inequality $mathrm{ber}% left( Aright) leqfrac{1}{2}left( leftVert ArightVert_{mathrm{ber}}+leftVert A^{2}rightVert _{mathrm{ber}}^{1/2}right) $ (see [17]). In this paper, we prove further inequalities relating them, and also establish some inequalities for the Berezin number of operators on functional Hilbert spaces |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/openAccess |
|
| dc.title |
Advanced refinements of Berezin number inequalities |
|
| dc.type |
info:eu-repo/semantics/article |
|