A-BEREZIN NUMBER OF OPERATORS

被引:6
|
作者
Gurdal, Mehmet [1 ]
Basaran, Hamdullah [1 ]
机构
[1] Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkey
关键词
Reproducing kernel Hilbert space; Berezin symbol; Berezin number; A-Berezin number; positive operator; INEQUALITIES; RADIUS;
D O I
10.30546/2409-4994.48.1.2022.77
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We introduce the notions (A, r)-adjoint of operators and A-Berezin number of operators on the reproducing kernel Hilbert space and prove some inequalities for A-Berezin number of operators. Some other related questions are also discussed.
引用
收藏
页码:77 / 87
页数:11
相关论文
共 50 条
  • [21] New estimates for the Berezin number of Hilbert space operators
    Zolfaghari, Parvaneh
    GEORGIAN MATHEMATICAL JOURNAL, 2024, 31 (06) : 1081 - 1088
  • [22] Some Euclidean Berezin number inequalities of a pair of operators and their applications
    Guesba, Messaoud
    FILOMAT, 2023, 37 (26) : 8777 - 8790
  • [23] Berezin number and numerical radius inequalities for operators on Hilbert spaces
    Satyajit Sahoo
    Namita Das
    Debasisha Mishra
    Advances in Operator Theory, 2020, 5 : 714 - 727
  • [24] BEREZIN NUMBER INEQUALITIES OF OPERATORS ON REPRODUCING KERNEL HILBERT SPACES
    Sen, Anirban
    Bhunia, Pintu
    Paul, Kallol
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2022, 52 (03) : 1039 - 1046
  • [25] Some Upper Bounds for the Berezin Number of Hilbert Space Operators
    Taghavi, Ali
    Roushan, Tahere Azimi
    Darvish, Vahid
    FILOMAT, 2019, 33 (14) : 4353 - 4360
  • [26] Bounds for the Berezin number of reproducing kernel Hilbert space operators
    Sen, Anirban
    Bhunia, Pintu
    Paul, Kallol
    FILOMAT, 2023, 37 (06) : 1741 - 1749
  • [27] Some New Estimates for the Berezin Number of Hilbert Space Operators
    Altwaijry, Najla
    Feki, Kais
    Minculete, Nicusor
    AXIOMS, 2022, 11 (12)
  • [28] Berezin number and numerical radius inequalities for operators on Hilbert spaces
    Sahoo, Satyajit
    Das, Namita
    Mishra, Debasisha
    ADVANCES IN OPERATOR THEORY, 2020, 5 (03) : 714 - 727
  • [29] Cebysev's Type Inequalities and Power Inequalities for the Berezin Number of Operators
    Garayev, Mubariz T.
    Yamanci, Ulas
    FILOMAT, 2019, 33 (08) : 2307 - 2316
  • [30] On the Berezin Number of Operators on the Reproducing Kernel of Hilbert Space and Related Problems
    Yamanci, Ulas
    Karli, Ismail M.
    UKRAINIAN MATHEMATICAL JOURNAL, 2024, 76 (04) : 680 - 690