Berezin number and Berezin norm inequalities for operator matrices

被引：6
|
作者：
Bhunia, Pintu [1 ]
Sen, Anirban [2 ]
Barik, Somdatta [2 ]
Paul, Kallol [2 ,3 ]
机构：
[1] Indian Inst Sci, Dept Math, Bengaluru, India
[2] Jadavpur Univ, Dept Math, Kolkata, India
[3] Jadavpur Univ, Dept Math, Kolkata 700032, West Bengal, India
来源：
LINEAR & MULTILINEAR ALGEBRA | 2024年 / 72卷 / 16期
关键词：
Berezin norm; Berezin number; numerical radius; operator norm; reproducing kernel Hilbert space; NUMERICAL RADIUS INEQUALITIES; SYMBOL; BOUNDS;
D O I：
10.1080/03081087.2023.2299388
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish new upper bounds for the Berezin number andBerezin norm of operator matrices, which are refinements of existingbounds. Among other bounds, we prove that ifA=[Aij]isannxnoperator matrix withAij is an element of B(H)fori,j=1, 2,...,n, then & Vert;A & Vert;ber <=parallel to parallel to[& Vert;Aij & Vert;ber]parallel to parallel to andber(A)<= w([aij]),whereaii=ber(Aii),aij=parallel to parallel to|Aij|+|A & lowast;ji|parallel to parallel to 1/2ber parallel to parallel to|Aji|+|A & lowast;ij|parallel to parallel to 1/2berifij. We also provideexamples which illustrate these bounds for some concrete operatorsacting on the Hardy-Hilbert space
引用
收藏
页码：2749 / 2768
页数：20
相关论文
共 50 条
  • [1] On Berezin Number Inequalities for Operator Matrices
    Sahoo, Satyajit
    Das, Namita
    Rout, Nirmal Chandra
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021, 37 (06) : 873 - 892
  • [2] On Berezin Number Inequalities for Operator Matrices
    Satyajit Sahoo
    Namita Das
    Nirmal Chandra Rout
    Acta Mathematica Sinica, English Series, 2021, 37 : 873 - 892
  • [3] On Berezin Number Inequalities for Operator Matrices
    Satya jit SAHOO
    Namita DAS
    Nirmal Chandra ROUT
    Acta Mathematica Sinica,English Series, 2021, (06) : 873 - 892
  • [4] Inequalities Involving Berezin Norm and Berezin Number
    Pintu Bhunia
    Kallol Paul
    Anirban Sen
    Complex Analysis and Operator Theory, 2023, 17
  • [5] SOME BEREZIN NUMBER INEQUALITIES FOR OPERATOR MATRICES
    Bakherad, Mojtaba
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2018, 68 (04) : 997 - 1009
  • [6] Inequalities Involving Berezin Norm and Berezin Number
    Bhunia, Pintu
    Paul, Kallol
    Sen, Anirban
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2023, 17 (01)
  • [7] Some Berezin Number Inequalities for Operator Matrices
    Mojtaba Bakherad
    Czechoslovak Mathematical Journal, 2018, 68 : 997 - 1009
  • [8] INEQUALITIES INVOLVING BEREZIN NUMBER AND α-BEREZIN NORM
    Gao, Fugen
    Hou, Mengyu
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024,
  • [9] FURTHER BEREZIN NUMBER INEQUALITIES OF OPERATOR MATRICES
    Guesba, Messaoud
    Yamanci, Ulas
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2023, 38 (03): : 519 - 533
  • [10] INEQUALITIES RELATED TO BEREZIN NORM AND BEREZIN NUMBER OF OPERATORS
    Basaran, Hamdullah
    Huban, Mualla Birgul
    Gurdal, Mehmet
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 14 (02): : 1 - 11
12345