Numerical radius inequalities of operator matrices with applications

被引:15
作者
Bhunia, Pintu [1 ]
Bag, Santanu [2 ]
Paul, Kallol [1 ]
机构
[1] Jadavpur Univ, Dept Math, Kolkata 700032, India
[2] Vivekananda Coll Women, Dept Math, Kolkata, India
关键词
Numerical radius; operator matrix; zeros of polynomial; LOWER BOUNDS; ZEROS;
D O I
10.1080/03081087.2019.1634673
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We present upper and lower bounds for the numerical radius of operator matrices which improve on the existing bounds for the same. As an application of the results obtained we give a better estimation for the zeros of a polynomial.
引用
收藏
页码:1635 / 1644
页数:10
相关论文
共 16 条
[1]   UPPER AND LOWER BOUNDS FOR THE NUMERICAL RADIUS WITH AN APPLICATION TO INVOLUTION OPERATORS [J].
Abu-Omar, Amer ;
Kittaneh, Fuad .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2015, 45 (04) :1055-1065
[2]   Numerical radius inequalities for n x n operator matrices [J].
Abu-Omar, Amer ;
Kittaneh, Fuad .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 468 :18-26
[3]   ESTIMATES FOR THE NUMERICAL RADIUS AND THE SPECTRAL RADIUS OF THE FROBENIUS COMPANION MATRIX AND BOUNDS FOR THE ZEROS OF POLYNOMIALS [J].
Abu-Omar, Amer ;
Kittaneh, Fuad .
ANNALS OF FUNCTIONAL ANALYSIS, 2014, 5 (01) :56-62
[4]   General numerical radius inequalities for matrices of operators [J].
Al-Dolat, Mohammed ;
Al-Zoubi, Khaldoun ;
Ali, Mohammed ;
Bani-Ahmad, Feras .
OPEN MATHEMATICS, 2016, 14 :109-117
[5]   The numerical radius and bounds for zeros of a polynomial [J].
Alpin, YA ;
Chien, MT ;
Yeh, L .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (03) :725-730
[6]   Numerical radius inequalities and its applications in estimation of zeros of polynomials [J].
Bhunia, Pintu ;
Bag, Santanu ;
Paul, Kallol .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 573 :166-177
[7]   UNITARILY-INVARIANT OPERATOR NORMS [J].
FONG, CK ;
HOLBROOK, JAR .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1983, 35 (02) :274-299
[8]   BUZANO INEQUALITY AND BOUNDS FOR ROOTS OF ALGEBRAIC EQUATIONS [J].
FUJII, M ;
KUBO, F .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 117 (02) :359-361
[9]   Numerical Radius Inequalities for Certain 2 x 2 Operator Matrices [J].
Hirzallah, Omar ;
Kittaneh, Fuad ;
Shebrawi, Khalid .
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2011, 71 (01) :129-147
[10]  
Horn R. A., 2012, Matrix Analysis