[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2002.39.3.351

ON HOLDER-MCCARTHY-TYPE INEQUALITIES WITH POWERS

Lin, Chia-Shiang (Department of Mathematics Bishop′s University)
Cho, Yeol-Je (Department of Mathematics Gyeongsang National University)

Publication Information

Journal of the Korean Mathematical Society / v.39, no.3, 2002 , pp. 351-361 More about this Journal

Abstract

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.

Keywords

positive operator; spectral radius of an operator; Holder-McCarthy inequality; Reid′s inequality; Cauchy-Schwarz inequality;

Citations & Related Records

Times Cited By Web Of Science : 2 (Related Records In Web of Science)
Times Cited By SCOPUS : 1

Reference
Cited By SCOPUS

1	Operator inequalities and covariance in noncommutative probability / [ M. Fujii;T. Furuta;R. Nakamoto;S. E. Takahasi ] / Math. Japan
2	Symmetrizable completely continuous linear transformations in Hilbert spaces / [ W. T. Reid ] / Duke Math. J. DOI
3	Polar decomposition approach to Reid's inequality / [] / J. Inequal. Appl.
4	/ [] / High-order and high-power Cauchy-Schwarz inequalities
5	/ [ C. A. McCarthy ] / Israel J. Math. DOI
6	On varoance and dovariance for bounded linear operators / [] / Acta Math. Sinica
7	/ [ P. R. Halmos ] / Hilbert Space Problem Book
8	Inequalities of Reid type and Furuta / [ C. S. Lin ] / Proc. Amer. Math. Soc. DOI ScienceOn