ON THE GENERALIZED MIXED SCHWARZ INEQUALITY

被引：11

作者：

Alomari, Mohammad W. ^{[1
]}

机构：

[1] Irbid Natl Univ, Dept Math, Fac Sci & Informat Technol, POB 2600, Irbid 21110, Jordan

来源：

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2020年 / 46卷 / 01期

关键词：

Mixed Schwarz inequality; Numerical radius; norm inequalities; Reid inequality; NUMERICAL RADIUS INEQUALITIES; OPERATORS; BOUNDS; NORM;

D O I：

10.29228/proc.13

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, an extension of the generalized mixed Schwarz inequality is proved. A companion of the generalized mixed Schwarz inequality is established by merging both Cartesian and Polar decompositions of operators. Based on that some numerical radius inequalities are proved.

引用

页码：3 / 15

页数：13

共 18 条

[1]

Dragomir SS, 2008, TAMKANG J MATH, V39, P1

[2]

Dragomir SS, 2013, SPRINGERBRIEF MATH, P1, DOI 10.1007/978-3-319-01448-7

[3] Numerical radius inequalities for Hilbert space operators. II [J].

El-Haddad, Mohammad ;

Kittaneh, Fuad .

STUDIA MATHEMATICA, 2007, 182 (02) :133-140

[4]

Gustafson K.E., 1996, Numerical Range: The Field of Values of Linear Operators and Matrices

[5]

Halmos P.R., 1974, Graduate Texts in Mathematics, V19

[6]

Horn R.A., 2013, Matrix Analysis

[7]

Kato T., 1952, Math Ann, V125, P208, DOI [10.1007/BF01343117, DOI 10.1007/BF01343117]

[8]

Kittaneh F, 2006, P AM MATH SOC, V134, P385

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

Kittaneh, F .

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

[10] Bounds for the zeros of polynomials from matrix inequalities [J].

Kittaneh, F .

ARCHIV DER MATHEMATIK, 2003, 81 (05) :601-608

← 1 2 →