OPERATOR INEQUALITIES ON HILBERT C*-MODULES VIA THE CAUCHY-SCHWARZ INEQUALITY

被引：2

作者：

Fujii, Jun Ichi ^{[1
]}

Fujii, Masatoshi ^{[2
]}

Seo, Yuki ^{[3
]}

机构：

[1] Osaka Kyoiku Univ, Dept Art & Sci Informat Sc, Osaka 5828582, Japan

[2] Osaka Kyoiku Univ, Dept Math, Osaka 5828582, Japan

[3] Osaka Kyoiku Univ, Dept Math Educ, Osaka 5828582, Japan

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2014年 / 17卷 / 01期

关键词：

Hilbert C* -modules; operator geometric mean; Cauchy-Schwarz inequality; operator inequality; Polya-Szego inequality; covariance-variance inequality; Wielandt inequality; Kantorovich inequality; Hienz-Kato-Furuta inequality; Malamud inequality; INNER-PRODUCT; REVERSE;

D O I：

10.7153/mia-17-24

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By means of a new Cauchy-Schwarz inequality in the framework of a semi-inner product C* -module over a unital C* -algebra, we discuss some operator inequalities on a Hilbert C* -module, for example, Kantorovich inequaity, Polya-Szego inequality, the covariance-variance inequality, Ozeki-Izumino-Mori-Seo inequality, Wielandt inequality, Hienz-Kato-Furuta inequality and Malamud inequality.

引用

页码：295 / 315

页数：21

共 50 条

[31] Norm inequalities for operators related to the Cauchy-Schwarz and Heinz inequalities
Jianguo Zhao
Hongmei Xie
Junliang Wu
Keshe Ni
Journal of Inequalities and Applications, 2016
[32] Characterizations of inner product spaces via angular distances and Cauchy-Schwarz inequality
Krnic, Mario
Minculete, Nicusor
AEQUATIONES MATHEMATICAE, 2021, 95 (01) : 147 - 166
[33] Cauchy-Schwarz and Kantorovich type inequalities for scalar and matrix moment sequences
Brezinski, C.
Raydan, M.
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2007, 26 (1-3) : 71 - 80
[34] REFINEMENTS OF THE HADAMARD AND CAUCHY-SCHWARZ INEQUALITIES WITH TWO INEQUALITIES OF THE PRINCIPAL ANGLES
Zhang, Huamin
Yin, Hongcai
JOURNAL OF MATHEMATICAL INEQUALITIES, 2019, 13 (02): : 423 - 435
[35] A SHORT PROOF OF HOLDER'S INEQUALITY USING CAUCHY-SCHWARZ INEQUALITY
Akkouchi, Mohamed
TEACHING OF MATHEMATICS, 2019, 22 (02): : 58 - 60
[36] A Geometric Interpretation of Cauchy-Schwarz Inequality in Terms of Casorati Curvature
Brubaker, Nicholas D.
Suceava, Bogdan D.
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2018, 11 (01): : 48 - 51
[37] SOME REVERSES OF THE CAUCHY-SCHWARZ INEQUALITY FOR COMPLEX FUNCTIONS OF SELF-ADJOINT OPERATORS IN HILBERT SPACES
Dragomir, S. S.
Moslehian, M. S.
Cho, Y. J.
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2014, 17 (04): : 1365 - 1373
[38] A Cauchy-Schwarz type inequality for bilinear integrals on positive measures
Ackermann, N
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 133 (09) : 2647 - 2656
[39] Generalized Cauchy-Schwarz Inequalities and A-Numerical Radius Applications
Altwaijry, Najla
Feki, Kais
Furuichi, Shigeru
AXIOMS, 2023, 12 (07)
[40] Enhanced Cauchy-Schwarz inequality and some of its statistical applications
Scarlatti, S.
STATISTICAL PAPERS, 2024, 65 (09) : 5931 - 5940

← 1 2 3 4 5 →