Some inequalities on functional Hilbert space operators
International Journal of Advanced Natural Sciences and Engineering Researches, cilt.9, sa.2, ss.233-239, 2025 (Hakemli Dergi)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 9 Sayı: 2
- Basım Tarihi: 2025
- Doi Numarası: 10.5281/zenodo.14897864
- Dergi Adı: International Journal of Advanced Natural Sciences and Engineering Researches
- Derginin Tarandığı İndeksler: Index Copernicus, Root Indexing
- Sayfa Sayıları: ss.233-239
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
Several Berezin radius and norm inequalities for functional Hilbert space operators are provided
in this study. Some previous comparable inequalities are improved by these inequalities. We show that
�
�er2(U1) ≤ 1
2
‖|U1|4 + |U1 *|4 + 1
2
1/2
(|U1|2 + |U1 *|2)2‖
ber
for an operator U1.