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
  • [41] An extension of the Euclidean Berezin number
    Mahdiabadi, Nooshin Eslami
    Bakherad, Mojtaba
    FILOMAT, 2023, 37 (24) : 8377 - 8388
  • [42] IMPROVED INEQUALITIES FOR THE BEREZIN NUMBER
    Afraz, Davood
    Lashkaripour, Rahmatollah
    Bakherad, Mojtaba
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2024, 18 (03): : 1067 - 1081
  • [43] On Berezin type operators and Toeplitz operators on Bergman spaces
    Prajitura, Gabriel T.
    Zhao, Ruhan
    Zhou, Lifang
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2023, 17 (03)
  • [44] Development of the Berezin Number Inequalities
    Bhunia, Pintu
    Sen, Anirban
    Paul, Kallol
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2023, 39 (07) : 1219 - 1228
  • [45] On Berezin type operators and Toeplitz operators on Bergman spaces
    Gabriel T. Prǎjiturǎ
    Ruhan Zhao
    Lifang Zhou
    Banach Journal of Mathematical Analysis, 2023, 17
  • [46] Development of the Berezin Number Inequalities
    Pintu BHUNIA
    Anirban SEN
    Kallol PAUL
    ActaMathematicaSinica,EnglishSeries, 2023, (07) : 1219 - 1228
  • [47] Estimates for the Berezin number inequalities
    Guesba, Messaoud
    Garayev, Mubariz
    JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2024, 15 (02)
  • [48] Development of the Berezin Number Inequalities
    Pintu Bhunia
    Anirban Sen
    Kallol Paul
    Acta Mathematica Sinica, English Series, 2023, 39 : 1219 - 1228
  • [49] Improvements of Berezin number inequalities
    Hajmohamadi, Monire
    Lashkaripour, Rahmatollah
    Bakherad, Mojtaba
    LINEAR & MULTILINEAR ALGEBRA, 2020, 68 (06): : 1218 - 1229
  • [50] Analytic Berezin-Toeplitz operators
    Charles, Laurent
    MATHEMATISCHE ZEITSCHRIFT, 2021, 299 (1-2) : 1015 - 1035