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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ON HEINZ-KATO-FURUTA INEQUALITY WITH BEST BOUNDS

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2008, v.15 no.1, pp.93-101
Lin, C.S.

Abstract

In this article we shall characterize the Heinz-Kato-Furuta inequality in several ways, and the best bound for sharpening of the inequality is obtained by the method in [7].

keywords
Furuta inequality, Heinz-Kato-Furuta inequality, polar decomposition of operator, partial isometry, Cauchy-Schwarz inequality

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics