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The Russo-Dye Theorem in Nest Algebras
Authors:Kenneth R. Davidson
Affiliation:Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
Abstract:
It is shown that the convex hull of the unitary elements of a nest algebra contains the whole unit ball if and only if both $0_+$ and $I_-^perp$ are either zero or infinite rank.

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