Some numerical radius inequalities for power series of operators in Hilbert spaces

被引：0
|
作者：
Silvestru Sever Dragomir
机构：
[1] Victoria University,Mathematics School of Engineering & Science
[2] University of the Witwatersrand,School of Computational & Applied Mathematics
来源：
Journal of Inequalities and Applications | / 2013卷
关键词：
bounded linear operators; functions of operators; numerical radius; power series;
D O I：
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摘要：
By the help of power series f(z)=∑n=0∞anzn, we can naturally construct another power series that has as coefficients the absolute values of the coefficients of f, namely, fa(z):=∑n=0∞|an|zn. Utilizing these functions, we show among others that
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