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：
暂无
中图分类号：
学科分类号：
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
引用
收藏
相关论文
共 11 条
  • [1] Kittaneh F(2003)A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix Stud. Math 158 11-17
  • [2] Kittaneh F(2005)Numerical radius inequalities for Hilbert space operators Stud. Math 168 73-80
  • [3] Dragomir SS(2007)Inequalities for the norm and the numerical radius of linear operators in Hilbert spaces Demonstr. Math XL 411-417
  • [4] Holbrook JAR(1969)Multiplicative properties of the numerical radius in operator theory J. Reine Angew. Math 237 166-174
  • [5] Davidson KR(1988)Numerical radii of zero-one matrices Mich. Math. J 35 261-267
  • [6] Holbrook JAR(1988)The numerical radius of a commuting product Mich. Math. J 39 255-260
  • [7] Müller V(1976)Operator radii of commuting products Proc. Am. Math. Soc 56 203-210
  • [8] Okubo K(1990)Some generalisations of Cauchy-Buniakowski-Schwartz’s inequality Gaz. Mat. Metod. (Bucharest) 11 104-109
  • [9] Ando T(undefined)undefined undefined undefined undefined-undefined
  • [10] Dragomir SS(undefined)undefined undefined undefined undefined-undefined
12