location:  Publications → journals → CMB
Abstract view

# Operator Algebras with Unique Preduals

Published:2011-03-10
Printed: Sep 2011
• Kenneth R. Davidson,
Pure Math. Dept., U. Waterloo, Waterloo, ON N2L--3G1
• Alex Wright,
Pure Math. Dept., U. Waterloo, Waterloo, ON N2L--3G1
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
 Format: HTML LaTeX MathJax PDF

## 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.
 Keywords: unique predual, free semigroup algebra, CSL algebra
 MSC Classifications: 47L50 - Dual spaces of operator algebras 46B04 - Isometric theory of Banach spaces 47L35 - Nest algebras, CSL algebras