The Russo-Dye theorem in nest algebras

Davidson, Kenneth

doi:10.1090/S0002-9939-98-04538-9

The Russo-Dye Theorem in Nest Algebras

Author: Kenneth R. Davidson
Journal: Proc. Amer. Math. Soc. 126 (1998), 3055-3059
MSC (1991): Primary 47D25
DOI: https://doi.org/10.1090/S0002-9939-98-04538-9
MathSciNet review: 1468188
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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 and $I_-^\perp$ are either zero or infinite rank.

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