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Operator Algebras with Unique Preduals

Published online by Cambridge University Press:  20 November 2018


Kenneth R. Davidson
Affiliation:
Pure Math. Dept., U. Waterloo, Waterloo, ON N2L–3G1 e-mail: krdavids@uwaterloo.ca alexmwright@gmail.com
Alex Wright
Affiliation:
Pure Math. Dept., U. Waterloo, Waterloo, ON N2L–3G1 e-mail: krdavids@uwaterloo.ca alexmwright@gmail.com
Corresponding

Abstract

We show that every free semigroup algebra has a (strongly) unique Banach space predual. We also provide a new simpler proof that a weak- $*$ closed unital operator algebra containing a weak- $*$ dense subalgebra of compact operators has a unique Banach space predual.


Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2011

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