BOUNDS OF NUMERICAL RADIUS OF BOUNDED LINEAR OPERATORS USING t-ALUTHGE TRANSFORM

被引：35

作者：

Bag, Santanu ^{[1
]}

Bhunia, Pintu ^{[2
]}

Paul, Kallol ^{[2
]}

机构：

[1] Vivekananda Coll Women, Dept Math, Kolkata 700008, W Bengal, India

[2] Jadavpur Univ, Dept Math, Kolkata 700032, W Bengal, India

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2020年 / 23卷 / 03期

关键词：

Numerical radius; Aluthge transform; bounded linear operator; operator inequality; INEQUALITIES; EQUALITY;

D O I：

10.7153/mia-2020-23-76

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop a number of inequalities to obtain bounds for the numerical radius of a bounded linear operator defined on a complex Hilbert space using the properties of t-Aluthge transform. We show that the bounds obtained are sharper than the existing bounds.

引用

页码：991 / 1004

页数：14

共 13 条

[1] A numerical radius inequality involving the generalized Aluthge transform [J].

Abu Omar, Amer ;

Kittaneh, Fuad .

STUDIA MATHEMATICA, 2013, 216 (01) :69-75

[2] 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

[3] New formulas for the spectral radius via λ-Aluthge transform [J].

Chabbabi, Fadil ;

Mbekhta, Mostafa .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 515 :246-254

[4] Equality of three numerical radius inequalities [J].

Gau, Hwa-Long ;

Wu, Pei Yuan .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 554 :51-67

[5]

Heinz E., 1951, MATH ANN, V123, P415

[6]

Jung IB, 2000, INTEGR EQUAT OPER TH, V37, P437

[7] Numerical radius inequalities for Hilbert space operators [J].

Kittaneh, F .

STUDIA MATHEMATICA, 2005, 168 (01) :73-80

[8] Commutator inequalities associated with the polar decomposition [J].

Kittaneh, F .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (05) :1279-1283

[9] A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix [J].

Kittaneh, F .

STUDIA MATHEMATICA, 2003, 158 (01) :11-17

[10] On weakly unitarily invariant norm and the Aluthge transformation [J].

Okubo, K .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 371 :369-375

← 1 2 →