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Uniqueness of Preduals in Spaces of Operators

Published online by Cambridge University Press:  20 November 2018

G. Godefroy
G. Godefroy*
Affiliation:
Institut de Mathématiques de Jussieu, 4 place Jussieu, 75005 Paris, France e-mail: godefroy@math.jussieu.fr
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Abstract

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We show that if $E$ is a separable reflexive space, and $L$ is a weak-star closed linear subspace of $L\left( E \right)$ such that $L\cap K\left( E \right)$ is weak-star dense in $L$, then $L$ has a unique isometric predual. The proof relies on basic topological arguments.

Keywords

46B2046B04
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 57 , Issue 4 , 01 December 2014 , pp. 810 - 813
Copyright
Copyright © Canadian Mathematical Society 2014

References

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