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
  • [21] IMPROVED INEQUALITIES FOR THE BEREZIN NUMBER
    Afraz, Davood
    Lashkaripour, Rahmatollah
    Bakherad, Mojtaba
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2024, 18 (03): : 1067 - 1081
  • [22] Development of the Berezin Number Inequalities
    Bhunia, Pintu
    Sen, Anirban
    Paul, Kallol
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2023, 39 (07) : 1219 - 1228
  • [23] Development of the Berezin Number Inequalities
    Pintu BHUNIA
    Anirban SEN
    Kallol PAUL
    ActaMathematicaSinica,EnglishSeries, 2023, (07) : 1219 - 1228
  • [24] Estimates for the Berezin number inequalities
    Guesba, Messaoud
    Garayev, Mubariz
    JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2024, 15 (02)
  • [25] Development of the Berezin Number Inequalities
    Pintu Bhunia
    Anirban Sen
    Kallol Paul
    Acta Mathematica Sinica, English Series, 2023, 39 : 1219 - 1228
  • [26] Improvements of Berezin number inequalities
    Hajmohamadi, Monire
    Lashkaripour, Rahmatollah
    Bakherad, Mojtaba
    LINEAR & MULTILINEAR ALGEBRA, 2020, 68 (06): : 1218 - 1229
  • [27] Berezin number inequalities for operators
    Bakherad, Mojtaba
    Garayev, Mubariz T.
    CONCRETE OPERATORS, 2019, 6 (01): : 33 - 43
  • [28] SOME NEW RELATIONS BETWEEN THE BEREZIN NUMBER AND THE BEREZIN NORM OF OPERATORS
    Saltan, Suna
    Tapdigoglu, Ramiz
    Calisir, Irem
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2022, 52 (05) : 1767 - 1774
  • [29] ADVANCED REFINEMENTS OF BEREZIN NUMBER INEQUALITIES
    Gurdal, Mehmet
    Basaran, Hamdullah
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2023, 72 (02): : 386 - 396
  • [30] Inequalities of Generalized Euclidean Berezin Number
    Chien, Fengsheng
    Mohommed, Eman F.
    Hajmohamadi, Monire
    Lashkaripour, Rahmatollah
    FILOMAT, 2022, 36 (16) : 5337 - 5345
12345