An elementary proof of an order preserving inequality

Takayuki Furuta

Type: Article

Publication Date: 1989-01-01

Citations: 93

DOI: https://doi.org/10.3792/pjaa.65.126

Abstract

An operator means a bounded linear operator on a Hilbert space.By only using the idea o polar decomposition, here we give an elementary

Locations

Proceedings of the Japan Academy Series A Mathematical Sciences - View - PDF

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+	F	1997	Michiel Hazewinkel
+	Function order of positive operators based on the Mond–Pečarić method	2002	Jadranka Mičić ‎Josip Pečarić Yuki Seo
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+	$A \geq B \geq 0$ Assures $(B^r A^p B^r)^{1/q} \geq B^{(p+2r)/q$ for $r \geq 0$, $p \geq 0$, $q \geq 1$ with $(1 + 2r)q \geq p + 2r$	1987	Takayuki Furuta