Lifting Normal Elements in Nonseparable Calkin Algebras
Operator Algebras
2014-03-26 v1
Abstract
We use the remarkable distance estimate of Ilya Kachkovskiy and Yuri Safarov, to show that if is a nonseparable Hilbert space and is any closed ideal in that is not the ideal of compact operators, then any normal element of can be lifted to a normal element of .
Keywords
Cite
@article{arxiv.1403.6228,
title = {Lifting Normal Elements in Nonseparable Calkin Algebras},
author = {Ye Zhang and Don Hadwin and Yanni Chen},
journal= {arXiv preprint arXiv:1403.6228},
year = {2014}
}