| dc.creator |
Alomari, Mohammad W. |
|
| dc.creator |
GÜRDAL, Mehmet |
|
| dc.date |
2022-01-01T00:00:00Z |
|
| dc.date.accessioned |
2023-01-09T12:03:36Z |
|
| dc.date.available |
2023-01-09T12:03:36Z |
|
| dc.identifier |
66d506f9-f18e-4d13-a12a-8f53f6c7d9c3 |
|
| dc.identifier |
10.33205/cma.1110550 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/66d506f9-f18e-4d13-a12a-8f53f6c7d9c3/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/97943 |
|
| dc.description |
© 2022 Himia, Fizika ta Tehnologia Poverhni. All rights reserved.The Berezin transform Ae and the Berezin radius of an operator A on the reproducing kernel Hilbert space over some set Qwith normalized reproducing kernel kη := kKKηηk are defined, respectively, by Ae(η) = hAkη, kηi, η ∈ Qand ber(A):= supη∈Q|||Ae(η) |||. A simple comparison of these properties produces the inequalities 14 kA∗A + AA∗k ≤ ber2 (A) ≤ 21 kA∗A + AA∗k. In this research, we investigate other inequalities that are related to them. In particular, for A ∈ L(H(Q)) we prove that ber2 (A) ≤ 12 kA∗A + AA∗kber − 14 ηinf ∈Q ((|fA|(η)) − (|gA∗|(η) ))2 |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/openAccess |
|
| dc.title |
Improvements of some Berezin radius inequalities |
|
| dc.type |
info:eu-repo/semantics/article |
|