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Operator Algebras with Unique Preduals

Published online by Cambridge University Press:  20 November 2018

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

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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.

Keywords

47L5046B0447L35unique predualfree semigroup algebraCSL algebra
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 54 , Issue 3 , 01 September 2011 , pp. 411 - 421
Copyright
Copyright © Canadian Mathematical Society 2011

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