ON HOLDER-MCCARTHY-TYPE INEQUALITIES WITH POWERS Lin, Chia-Shiang; Cho, Yeol-Je;
We extend the Holder-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 Holder-McCarthy inequality by recursion.
positive operator;spectral radius of an operator;Holder-McCarthy inequality;Reid′s inequality;Cauchy-Schwarz inequality;
Math. Japan, 1997.
Hilbert Space Problem Book, 1967.
Proc. Amer. Math. Soc., 2000.
Acta Math. Sinica, 0000.
J. Inequal. Appl., 0000.
High-order and high-power Cauchy-Schwarz inequalities, 0000.