KaydedilenlerDerginizi ekleyin

Dergiler / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 4

Some results related to the Berezin number inequalities

Ulaş YAMANCI
Mubariz GARAYEV
Sayfa
1940–1952
Yayın Tarihi
2022-11-04
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Also, by usingthe classical Jensen and Young inequalities, we obtain upper bounds for Berezin number of $A^alpha XB^alpha$ and $A^alpha XB^{1-alpha}$ for the case when $0leq aleq1$.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we prove reverse inequalities for the so-called Berezin number of some operators.
📊
Temel Bulgular & Veri:In this paper, we prove reverse inequalities for the so-called Berezin number of some operators.
💡
Sonuç & Katkı:Also, by usingthe classical Jensen and Young inequalities, we obtain upper bounds for Berezin number of $A^alpha XB^alpha$ and $A^alpha XB^{1-alpha}$ for the case when $0leq aleq1$.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, we prove reverse inequalities for the so-called Berezin number of some operators. Also, by usingthe classical Jensen and Young inequalities, we obtain upper bounds for Berezin number of $A^alpha XB^alpha$ and $A^alpha XB^{1-alpha}$ for the case when $0leq aleq1$.

🔖

Bu Makaleye Atıf Yap

YAMANCI, U., GARAYEV, M. (2022). Some results related to the Berezin number inequalities. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 4, 1940–1952. https://ajindex.com/articles/607702

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (17)

  1. Abu-Omar A, Kittaneh F. Notes on some spectral radius and numerical radius inequalities. Studia Mathematica 2015; 272 (2): 97-109
  2. Aronzajn N. Theory of reproducing kernels. Transactions of the American Mathematical Society 1950; 68: 337-404
  3. Bakherad M. Some Berezin number inequalities for operator matrices. Czechoslovak Mathematical Journal 2018; 68 (4): 997-1009. doi: 10.21136/CMJ.2018.0048-17 [4] Bakherad M, Shebrawi K. Upper bounds for numerical radius inequalities involving off-diagonal operator matrices. Annals of Functional Analysis 2018; 9 (3): 297-309
  4. Berezin FA. Covariant and contravariant symbols for operators. Mathematics of the USSR-Izvestiya 1972; 6: 1117- 1151
  5. Berger CA, Coburn LA. Toeplitz operators on the Segal-Bargmann space. Transactions of the American Mathematical Society 1987; 301: 813-829
  6. Buzano ML. Generalizzazione della disiguaglianza di Cauchy-Schwaz. Rendiconti del Seminario Matematico Università e Politecnico di Torino 1971; 31: 405-409 (in Italian)
  7. Chalendar I, Fricain E, Gürdal M, Karaev MT. Compactness and Berezin symbols. Acta Scientiarum Mathematicarum 2012; 78: 315-329
  8. Coburn LA. A Lipschitz estimate for Berezin’s operator calculus. Proceedings of the American Mathematical Society 2004; 133: 127-131
  9. Das N, Sahoo M. Berezin transform of the absolute value of an operator. Annals of Functional Analysis 2018; 9 (2): 151-165
  10. Dragomir SS. Some refinements of Schwarz inequality. Polytechnical Institute of Timișoara, Romania 1985: 13-16
  11. Dragomir SS. Reverse inequalities for the numerical radius of linear operators in Hilbert spaces. Bulletin of the Australian Mathematical Society 2006; 73 (2): 255-262
  12. Dragomir SS. A survey of some recent inequalities for the norm and numerical radius of operators in Hilbert spaces. Banach Journal of Mathematical Analysis 2007; 1 (2): 154-175
  13. El-Haddad M, Kittaneh F. Numerical radius inequalities for Hilbert space operators. II. Studia Mathematica 2007; 182: 133-140
  14. Engliš M. Functions invariant under the Berezin transform. Journal of Functional Analysis 1994; 121: 233-254
  15. Engliš M. Toeplitz operators and the Berezin transform on H2. Linear Algebra and its Applications 1995; 223/224: 171-204
  16. Garayev MT, Guediri H, Sadraoui H. Applications of reproducing kernels and Berezin symbols. New York Journal of Mathematics 2016; 22: 583-604
  17. Garayev MT, Gürdal M, Okudan A. Hardy-Hilbert’s inequality and a power inequa