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Connectedness of the Invertibles in Certain Nest Algebras
Published online by Cambridge University Press: 20 November 2018
Abstract
We show that if is a nest with no isolated atoms of finite multiplicity, then the invertibles in are connected. The key technical ingredient is that in such nest algebras, every operator with zero atomic diagonal part factors through the non-atomic part of . In particular, these results apply for the Cantor nest.
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- Copyright © Canadian Mathematical Society 1995
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