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arXiv 2014-03-25 0 views

Lifting Normal Elements in Nonseparable Calkin Algebras

Zhang, Ye · Hadwin, Don · Chen, Yanni

Original · EN

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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