Operator inequalities in reproducing kernel Hilbert spaces

dc.contributor.authorYamancı, Ulaş
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2022-12-26T11:40:01Z
dc.date.available2022-12-26T11:40:01Z
dc.date.issued2022
dc.description.abstractIn this paper, by using some classical Mulholland type inequality, Berezin symbols and reproducing kernel technique, we prove the power inequalities for the Berezin number b e r ( A ) for some self-adjoint operators A on H ( Ω ) . Namely, some Mulholland type inequality for reproducing kernel Hilbert space operators are established. By applying this inequality, we prove that ( b e r ( A ) ) n ≤ C 1 b e r ( A n ) for any positive operator A on H ( Ω ) .tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage211tr_TR
dc.identifier.issn/e-issn1303-5991
dc.identifier.issue1tr_TR
dc.identifier.startpage204tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.926981tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/86474
dc.identifier.volume71tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.926981tr_TR
dc.relation.journalCommunications, Series A1:Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectMulholland type inequality, Berezin number, positive operator, reproducing kernel Hilbert space, Berezin symboltr_TR
dc.titleOperator inequalities in reproducing kernel Hilbert spacestr_TR
dc.typeArticletr_TR

Files

Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
10.31801-cfsuasmas.699831-996155.pdf
Size:
514.75 KB
Format:
Adobe Portable Document Format
Description:
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.62 KB
Format:
Item-specific license agreed upon to submission
Description: