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Operator versions of the Kantorovich inequality

Authors:	P G Spain

Institution:	Department of Mathematics, University of Glasgow, Glasgow G12 8QW, Scotland

Abstract:	The Operator Kantorovich Inequality $\begin{displaymath}(R^2 - r^2) \, u^* (a^* a) \, u \le R^2 \, (u^* a^* u) (u^* a u) \end{displaymath}$ holds for a wide class of operators on a Hilbert space $\mathcal {H}$ and all operators $u: % \mathcal {K}\to % \mathcal {H}$ for which $a] \, u$ is a partial isometry, being the range projection of

Keywords:	Kantorovich Inequality Cauchy-Schwarz Inequality

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