Refinements of the Euclidean Operator Radius and Davis-Wielandt Radius-Type Inequalities

被引：3

作者：

Hamadneh, Tareq ^{[1
]}

Alomari, Mohammad W. ^{[2
]}

Al-Shbeil, Isra ^{[3
]}

Alaqad, Hala ^{[4
]}

Hatamleh, Raed ^{[5
]}

Heilat, Ahmed Salem ^{[5
]}

Al-Husban, Abdallah ^{[2
]}

机构：

[1] Al Zaytoonah Univ Jordan, Fac Sci, Dept Math, Amman 11733, Jordan

[2] Irbid Natl Univ, Fac Sci & Informat Technol, Dept Math, Irbid 21110, Jordan

[3] Univ Jordan, Fac Sci, Dept Math, Amman 11940, Jordan

[4] United Arab Emirates Univ, Dept Math Sci, Al Ain, U Arab Emirates

[5] Jadara Univ, Fac Sci & Informat Technol, Dept Math, Irbid 21110, Jordan

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 05期

关键词：

Euclidean operator radius; Davis-Wielandt radius; numerical radius; NUMERICAL RADIUS; RANGE; SHELL;

D O I：

10.3390/sym15051061

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper proves several new inequalities for the Euclidean operator radius, which refine some recent results. It is shown that the new results are much more accurate than the related, recently published results. Moreover, inequalities for both symmetric and non-symmetric Hilbert space operators are studied.

引用

页数：21

共 40 条

[11] Bounds for the Davis-Wielandt radius of bounded linear operators
Bhunia, Pintu
Bhanja, Aniket
Bag, Santanu
Paul, Kallol
[J]. ANNALS OF FUNCTIONAL ANALYSIS, 2021, 12 (01)
[12] Some improvements of numerical radius inequalities of operators and operator matrices
Bhunia, Pintu
Paul, Kallol
[J]. LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (10) : 1995 - 2013
[13] DAVIS C, 1970, ACTA SCI MATH, V31, P301
[14] DAVIS C, 1968, ACTA SCI MATH, V29, P69
[15] Some inequalities for the Euclidean operator radius of two operators in Hilbert spaces
Dragomir, Sever S.
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2006, 419 (01) : 256 - 264
[16] Dragomir SS., 2009, Sarajevo J. Math, V5, P269, DOI [10.5644/SJM.05.2.10, DOI 10.5644/SJM.05.2.10]
[17] Davis-Wielandt shells of semi-Hilbertian space operators and its applications
Feki, Kais
Mahmoud, Sid Ahmed Ould Ahmed
[J]. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2020, 14 (03) : 1281 - 1304
[18] Furuta T., 2005, MOND PECARI METHOD O
[19] Further refinements of generalized numerical radius inequalities for Hilbert space operators
Hajmohamadi, Monire
Lashkaripour, Rahmatollah
Bakherad, Mojtaba
[J]. GEORGIAN MATHEMATICAL JOURNAL, 2021, 28 (01) : 83 - 92
[20] SOME GENERALIZATIONS OF NUMERICAL RADIUS ON OFF-DIAGONAL PART OF 2 x 2 OPERATOR MATRICES
Hajmohamadi, Monire
Lashkaripour, Rahmatollah
Bakherad, Mojtaba
[J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2018, 12 (02): : 447 - 457

← 1 2 3 4 →