Further Berezin Number and Berezin Norm Inequalities for Sums and Products of Operators

被引:0
|
作者
Guesba, Messaoud [2 ]
Barik, Somdatta [1 ]
Paul, Kallol [1 ]
机构
[1] Jadavpur Univ, Dept Math, Kolkata 700032, West Bengal, India
[2] El Oued Univ, Fac Exact Sci, Dept Math, El Oued 39000, Algeria
关键词
Berezin number; Berezin norm; Reproducing kernel Hilbert space; Moore-Penrose inverse; Bounded operator; Inequality;
D O I
10.1007/s11785-025-01659-w
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we obtain some Berezin number and Berezin norm inequalities involving Moore-Penrose inverse of bounded linear operators and also study some inequalities for sums and products of operators on reproducing kernel Hilbert spaces. These inequalities improve and generalize some earlier related inequalities.
引用
收藏
页数:21
相关论文
共 50 条
  • [41] COMPLETE REFINEMENTS OF THE BEREZIN NUMBER INEQUALITIES
    Bakherad, Mojtaba
    Lashkaripour, Rahmatollah
    Hajmohamadi, Monire
    Yamanci, Ulas
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2019, 13 (04): : 1117 - 1128
  • [42] Berezin Number and Numerical Radius Inequalities
    Sen, Anirban
    Paul, Kallol
    VIETNAM JOURNAL OF MATHEMATICS, 2025, 53 (02) : 277 - 289
  • [43] BEREZIN NUMBER OF OPERATORS AND RELATED QUESTIONS
    Karaev, Mubariz T.
    Iskenderov, Nizameddin Sh.
    METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2013, 19 (01): : 68 - 72
  • [44] Refinements of some inequalities involving Berezin norms and Berezin number and related questions
    Garayev M.
    Guesba M.
    ANNALI DELL'UNIVERSITA' DI FERRARA, 2024, 70 (2) : 381 - 403
  • [45] On a New Norm on the Space of Reproducing Kernel Hilbert Space Operators and Berezin Radius Inequalities
    Bhunia, P.
    Gurdal, M.
    Paul, K.
    Sen, A.
    Tapdigoglu, R.
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2023, 44 (09) : 970 - 986
  • [46] SOME BEREZIN NUMBER INEQUALITIES FOR OPERATOR MATRICES
    Bakherad, Mojtaba
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2018, 68 (04) : 997 - 1009
  • [47] Some Berezin Number Inequalities for Operator Matrices
    Mojtaba Bakherad
    Czechoslovak Mathematical Journal, 2018, 68 : 997 - 1009
  • [48] Some results related to the Berezin number inequalities
    Yamanci, Ulas
    Garayev, Mubariz
    TURKISH JOURNAL OF MATHEMATICS, 2019, 43 (04) : 1940 - 1952
  • [49] BEREZIN NUMBER INEQUALITIES VIA YOUNG INEQUALITY
    Basaran, Hamdullah
    Gurdal, Mehmet
    HONAM MATHEMATICAL JOURNAL, 2021, 43 (03): : 523 - 537
  • [50] Berezin Number Inequalities via Convex Functions
    Huban, Mualla Birgul
    Basaran, Hamdullah
    Gurdal, Mehmet
    FILOMAT, 2022, 36 (07) : 2333 - 2344