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Lifting Normal Elements in Nonseparable Calkin Algebras
Published 25 Mar 2014 in math.OA | (1403.6228v1)
Abstract: We use the remarkable distance estimate of Ilya Kachkovskiy and Yuri Safarov, to show that if $H$ is a nonseparable Hilbert space and $K$ is any closed ideal in $B(H)$ that is not the ideal of compact operators, then any normal element of $B(H)/K$ can be lifted to a normal element of $B(H)$.
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