Inequalities for the Davis-Wielandt Radius of Operators in Hilbert C ∗-Modules Space

被引：0

作者：

Hassaouy, Mohammed ^{[1
]}

Bounader, Nordine ^{[1
]}

机构：

[1] Ibn Tofail Univ, Fac Sci, Dept Math, Lab Anal Geometry & Applicat LAGA, Kenitra, Morocco

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2024年 / 22卷

关键词：

Euclidean operator radius; Davis-Wielandt radius; numerical radius; operator norm; A-; module; NUMERICAL RADIUS; LOWER BOUNDS;

D O I：

10.28924/2291-8639-22-2024-196

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The content of this paper presents a fresh method of studying the Davis-Wielandt radius of bounded operators on Hilbert C & lowast;-modules. Using this method, we arrive at new results that improve upper and lower bounds for the Davis-Wielandt radius and generalize known theorems for bounded operators on Hilbert spaces to bounded adjointable operators on Hilbert C & lowast;-module spaces.

引用

页数：24

共 50 条

[31] Some Inequalities for the Numerical Radius of Hilbert Space Operators
Gao, Fugen
Hu, Yijuan
COMPLEX ANALYSIS AND OPERATOR THEORY, 2024, 18 (07)
[32] Further refinements of generalized numerical radius inequalities for Hilbert space operators
Hajmohamadi, Monire
Lashkaripour, Rahmatollah
Bakherad, Mojtaba
GEORGIAN MATHEMATICAL JOURNAL, 2021, 28 (01) : 83 - 92
[33] Numerical radius inequalities for Hilbert space operators
Kittaneh, F
STUDIA MATHEMATICA, 2005, 168 (01) : 73 - 80
[34] NUMERICAL RADIUS INEQUALITIES FOR HILBERT C*-MODULES
Moghaddam, Sadaf Fakri
Mirmostafaee, Alireza Kamel
MATHEMATICA BOHEMICA, 2022, : 547 - 566
[35] The A-Davis-Wielandt Berezin number of semi Hilbert operators with some related inequalities
Goli, Fatemeh
Lashkaripour, Rahmatollah
Hajmohamadi, Monire
FILOMAT, 2023, 37 (12) : 3837 - 3856
[36] Refinement of numerical radius inequalities of complex Hilbert space operators
Pintu Bhunia
Kallol Paul
Acta Scientiarum Mathematicarum, 2023, 89 : 427 - 436
[37] Generalized spectral radius and norm inequalities for Hilbert space operators
Abu-Omar, Amer
Kittaneh, Fuad
INTERNATIONAL JOURNAL OF MATHEMATICS, 2015, 26 (12)
[38] Some generalizations of numerical radius inequalities for Hilbert space operators
Yang, Chaojun
SCIENCEASIA, 2021, 47 (03): : 382 - 387
[39] SOME GENERALIZED NUMERICAL RADIUS INEQUALITIES FOR HILBERT SPACE OPERATORS
Rashid, M. H. M.
Altaweel, N. H.
JOURNAL OF MATHEMATICAL INEQUALITIES, 2022, 16 (02): : 541 - 560
[40] Refinements of some numerical radius inequalities for Hilbert space operators
Alomari, Mohammad W.
LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (07) : 1208 - 1223

← 1 2 3 4 5 →