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Operator versions of the Kantorovich inequality
Authors:P. G. Spain
Affiliation: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 $a$ on a Hilbert space $mathcal {H}$ and all operators $u: % mathcal {K}to % mathcal {H}$ for which $[a] , u$ is a partial isometry, $[a]$ being the range projection of $a.$

Keywords:Kantorovich Inequality   Cauchy-Schwarz Inequality
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