OPERATOR INEQUALITIES IN REPRODUCING KERNEL HILBERT SPACES
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.71, sa.1, ss.204-211, 2022 (ESCI, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 71 Sayı: 1
- Basım Tarihi: 2022
- Doi Numarası: 10.31801/cfsuasmas.926981
- Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.204-211
- Anahtar Kelimeler: Mulholland type inequality, Berezin number, positive operator, reproducing kernel Hilbert space, Berezin symbol, NUMERICAL RADIUS INEQUALITIES, BEREZIN NUMBER INEQUALITIES, NONCOMMUTATIVE HARDY
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this paper, by using some classical Mulholland type inequality, Berezin symbols and reproducing kernel technique, we prove the power inequalities for the Berezin number ber(A) for some self-adjoint operators A on H(Omega). Namely, some Mulholland type inequality for reproducing kernel Hilbert space operators are established. By applying this inequality, we prove that (ber(A))(n) <= C(1)ber(A(n)) for any positive operator A on H(Omega).