J. Korean Math. Soc. 2002; 39(3): 351-361
Printed May 1, 2002
Copyright © The Korean Mathematical Society.
Chia-Shiang Lin and Yeol Je Cho
Bishop’s University and Gyeongsang National University
We extend the H\"{o}lder-McCarthy inequality for a positive and an arbitrary operator, respectively. The powers of each inequality are given and the improved Reid's inequality by Halmos is generalized. We also give the bound of the H\"{o}lder-McCarthy inequality by recursion.
Keywords: positive operator, spectral radius of an operator, H{o}lder-McCarthy inequality, Reid's inequality, Cauchy-Schwarz inequality
MSC numbers: 47B15, 47B20
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