Vector norm inequalities for power series of operators in Hilbert spaces

被引：2
|
作者：
Chenung, W. S. [1 ]
Dragomir, S. S. [2 ,3 ]
机构：
[1] Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
[2] Victoria Univ, Sch Engn & Sci, Math, Melbourne, Vic 8001, Australia
[3] Univ Witwatersrand, Sch Computat & Applied Math, ZA-2050 Johannesburg, South Africa
来源：
TBILISI MATHEMATICAL JOURNAL | 2014年 / 7卷 / 02期
关键词：
Bounded linear operators; Hilbert spaces; Functions of operators; Power series; Hermite-Hadamard type inequalities;
D O I：
10.2478/tmj-2014-0013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, vector norm inequalities that provides upper bounds for the Lipschitz quantity parallel to f (T) x - f (V) x parallel to for power series f(z) = Sigma(infinity)(n=0) a(n)z(n), bounded linear operators T,V on the Hilbert space H and vectors x epsilon H are established. Applications in relation to Hermite-Hadamard type inequalities and examples for elementary functions of interest are given as well.
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页码：21 / 34
页数：14
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