SOME REVERSES OF THE CAUCHY-SCHWARZ INEQUALITY FOR COMPLEX FUNCTIONS OF SELF-ADJOINT OPERATORS IN HILBERT SPACES

被引：4

作者：

Dragomir, S. S. ^{[1
,2
]}

Moslehian, M. S. ^{[3
]}

Cho, Y. J. ^{[4
]}

机构：

[1] Victoria Univ, Sch Sci & Engn, Melbourne, MC 8001, Australia

[2] Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa

[3] Ferdowsi Univ Mashhad, Dept Pure Math, Ctr Excellence Anal Algebra Struct, Mashhad 91775, Iran

[4] Gyeongsang Natl Univ, Dept Math Educ, Chinju, South Korea

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2014年 / 17卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

Self-adjoint operators; reverse of the Cauchy-Schwarz inequality; spectral representation; functions of self-adjoint operators; INNER-PRODUCT;

D O I：

10.7153/mia-17-100

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give some ratio and difference reverses of the Cauchy-Schwarz inequality for complex functions of self-adjoint operators in Hilbert spaces, under suitable assumptions for the involved operators. Several examples for particular functions of interest are provided as well.

引用

页码：1365 / 1373

页数：9

共 29 条

[1] Some Vector Inequalities for Continuous Functions of Self-Adjoint Operators in Hilbert Spaces
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[2] Some Vector Inequalities for Continuous Functions of Self-Adjoint Operators in Hilbert Spaces
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[3] Refinements of the Cauchy-Bunyakovsky-Schwarz inequality for functions of selfadjoint operators in Hilbert spaces
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[8] C*-module operators which satisfy the generalized Cauchy-Schwarz type inequality
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LINEAR & MULTILINEAR ALGEBRA, 2024, 72 (04) : 644 - 654
[9] Scattering matrix and functions of self-adjoint operators
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[10] Some inequalities for continuous functions of selfadjoint operators in hilbert spaces
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