NUMERICAL RADIUS INEQUALITIES OF OPERATOR MATRICES FROM A NEW NORM ON B(H)

被引：1

作者：

Bhunia, Pintu ^{[1
]}

Bhanja, Aniket ^{[2
]}

Sain, Debmalya ^{[3
]}

Paul, Kallol ^{[1
]}

机构：

[1] Jadavpur Univ, Dept Math, 188 Raja SC Mallick Rd, Kolkata 700032, India

[2] Vivekananda Coll Thakurpukur, Dept Math, Kolkata, W Bengal, India

[3] Indian Inst Sci, Dept Math, Bengaluru 560012, Karnataka, India

来源：

MISKOLC MATHEMATICAL NOTES | 2023年 / 24卷 / 02期

关键词：

numerical radius; bounded linear operator; operator inequalities; Hilbert space;

D O I：

10.18514/MMN.2023.3934

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is a continuation of a recent work on a new norm, christened the (a, 13) norm, on the space of bounded linear operators on a Hilbert space. We obtain some upper bounds for the said norm of n x n operator matrices. As an application of the present study, we estimate bounds for the numerical radius and the usual operator norm of n x n operator matrices, which generalize the existing ones.

引用

页码：653 / 664

页数：12

共 18 条

[1] A generalization of the numerical radius
Abu-Omar, Amer
Kittaneh, Fuad
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 569 : 323 - 334
[2] Numerical radius inequalities for n x n operator matrices
Abu-Omar, Amer
Kittaneh, Fuad
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 468 : 18 - 26
[3] BOUNDS OF NUMERICAL RADIUS OF BOUNDED LINEAR OPERATORS USING t-ALUTHGE TRANSFORM
Bag, Santanu
Bhunia, Pintu
Paul, Kallol
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2020, 23 (03): : 991 - 1004
[4] Joint numerical ranges of operators in semi-Hilbertian spaces
Baklouti, Hamadi
Feki, Kais
Ahmed, Ould Ahmed Mahmoud Sid
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 555 : 266 - 284
[5] On the Davis-Wielandt shell of an operator and the Davis-Wielandt index of a normed linear space
Bhunia, Pintu
Sain, Debmalya
Paul, Kallol
[J]. COLLECTANEA MATHEMATICA, 2022, 73 (03) : 521 - 533
[6] Some improvements of numerical radius inequalities of operators and operator matrices
Bhunia, Pintu
Paul, Kallol
[J]. LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (10) : 1995 - 2013
[7] Bhunia P, 2020, ELECTRON J LINEAR AL, V36
[8] Numerical radius inequalities of operator matrices with applications
Bhunia, Pintu
Bag, Santanu
Paul, Kallol
[J]. LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (09) : 1635 - 1644
[9] Numerical radius inequalities and its applications in estimation of zeros of polynomials
Bhunia, Pintu
Bag, Santanu
Paul, Kallol
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 573 : 166 - 177
[10] Feki K, 2021, J KOREAN MATH SOC, V58, P1385, DOI [10.4134/JKMS.j210017pISSN:0304-9914/eISSN:2234-3008, 10.4134/JKMS.j210017]

← 1 2 →