Improved lower bounds for numerical radius via Cartesian decomposition

被引：1

|

作者：

Alrimawi, Fadi ^{[1
]}

Abushaheen, Fuad A. ^{[2
,3
]}

Alkhateeb, Rami ^{[1
]}

机构：

[1] Al Ahliyya Amman Univ, Dept Basic Sci, Amman, Jordan

[2] Middle East Univ, Fac Arts & Educ Sci, Basic Sci Dept, Amman, Jordan

[3] Appl Sci Private Univ, Appl Sci Res Ctr, Amman, Jordan

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2024年 / 33卷 / 02期

关键词：

Numerical radius; operator norm; bounded linear operator; NORM INEQUALITIES;

D O I：

10.22436/jmcs.033.02.05

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we derive various lower bounds for the numerical radius of operators that refine the well-known inequality w2(A) ? 14 IIA*A+AA*II.

引用

收藏

页码：169 / 175

页数：7

相关论文

共 50 条

[21] The numerical radius and bounds for zeros of a polynomial
Alpin, YA
Chien, MT
Yeh, L
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (03) : 725 - 730
[22] New norm and numerical radius bounds
Sababheh, Mohammad
Moradi, Hamid Reza
INTERNATIONAL JOURNAL OF MATHEMATICS, 2025, 36 (01)
[23] Numerical radius bounds for certain operators
Bhunia, Pintu
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2024,
[24] Upper Bounds of a Generalized Numerical Radius
Sharifeh Rezagholi
Mahya Hosseini
Siamak Firouzian
Kamal Fallahi
Iranian Journal of Science, 2023, 47 : 961 - 967
[25] Numerical radius inequalities via convexity
Sababheh, M.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 549 : 67 - 78
[26] New upper bounds for the numerical radius of Hilbert space operators
Bhunia, Pintu
Paul, Kallol
BULLETIN DES SCIENCES MATHEMATIQUES, 2021, 167
[27] Bounds for the p-Numerical Radius Through Singular Values
Kittaneh, Fuad
Moradi, Hamid Reza
Sababheh, Mohammad
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025,
[28] Improved Inequalities for the Extension of Euclidean Numerical Radius
Bajmaeh, Akram Babri
Omidvar, Mohsen Erfanian
FILOMAT, 2019, 33 (14) : 4519 - 4524
[29] Improved inequalities for the numerical radius
Timroi, Badria
Omidvar, Mohsen Erfanian
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (01)
[30] Sharper bounds for the numerical radius of n x n operator matrices
Bhunia, Pintu
ARCHIV DER MATHEMATIK, 2024, : 173 - 183

← 1 2 3 4 5 →