Refinements of some numerical radius inequalities for Hilbert space operators

被引:3
作者
Jena, Mamata Rani [1 ]
Das, Namita [1 ]
Sahoo, Satyajit [2 ]
机构
[1] Utkal Univ, Dept Math, Bhubaneswar 751004, India
[2] Indian Stat Inst, Stat & Math Unit, R V Coll Post, Bangalore 560059, India
关键词
Numerical radius; positive operator; McCarthy inequality;
D O I
10.2298/FIL2310043J
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we present some refinements of numerical radius inequalities for operators on Hilbert space. Further, we also obtain some new upper bounds for the numerical radius of the Cartesian decomposition of operators which improves the existing bounds.
引用
收藏
页码:3043 / 3051
页数:9
相关论文
共 17 条
[1]   SomeA-numerical radius inequalities for semi-Hilbertian space operators [J].
Chandra Rout, Nirmal ;
Sahoo, Satyajit ;
Mishra, Debasisha .
LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (05) :980-996
[2]   Numerical radius inequalities for Hilbert space operators. II [J].
El-Haddad, Mohammad ;
Kittaneh, Fuad .
STUDIA MATHEMATICA, 2007, 182 (02) :133-140
[3]  
Furuta T, 2005, MOND PECARIE METHOD
[4]   THE NUMERICAL RADIUS OF A NILPOTENT OPERATOR ON A HILBERT-SPACE [J].
HAAGERUP, U ;
DELAHARPE, P .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 115 (02) :371-379
[5]  
Hardy G., 1959, Inequalities
[6]  
Kato T., 1952, Math. Ann, V125, P208, DOI [10.1007/bf01343117, DOI 10.1007/BF01343117]
[7]   Operator Jensen inequality for superquadratic functions [J].
Kian, Mohsen .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 456 :82-87
[8]   Numerical radius inequalities for Hilbert space operators [J].
Kittaneh, F .
STUDIA MATHEMATICA, 2005, 168 (01) :73-80
[9]   Bounds for the zeros of polynomials from matrix inequalities [J].
Kittaneh, F .
ARCHIV DER MATHEMATIK, 2003, 81 (05) :601-608
[10]   NOTES ON SOME INEQUALITIES FOR HILBERT-SPACE OPERATORS [J].
KITTANEH, F .
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1988, 24 (02) :283-293