On A-Berezin number in functional Hilbert space
Filomat, cilt.38, sa.21, ss.7657-7671, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 38 Sayı: 21
- Basım Tarihi: 2024
- Doi Numarası: 10.2298/fil2421657g
- Dergi Adı: Filomat
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.7657-7671
- Anahtar Kelimeler: A-Berezin norm, A-Berezin norm distance, A-Berezin number, A-Berezin radius distance, functional Hilbert space, inequality, positive operator
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
A-Berezin radius distance and A-Berezin norm distance are presented in this study. Furthermore, by employing the notions of A-Berezin radius distance and A-Berezin norm distance, we find A-Berezin radius inequalities of the product and commutator of functional Hilbert space operators. Moreover, we generalize the A-Berezin radius distance. Finally, we prove the theorem pertaining to the A-Berezin radius distance. To recapitulate, the A-Berezin number∣ of operator V on L (H(Θ)) is defined by the following ∣∣∣〈 〉 special type of quadratic form: berA (V) = supη∈ΘV̂kη,̂kη ∣ ∣, η ∈ Θ, whereˆkη is the normalized reproducing kernel on H and a semi-inner product on H, denoted as ⟨Vˆkη,ˆkη ⟩A:= ⟨AVˆkη,ˆkη ⟩H, is induced by any positive operator A. A.