Geodesic
Uniqueness of Preduals in Spaces of Operators
Canadian mathematical bulletin, Tome 57 (2014) no. 4, pp. 810-813

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DOI

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.
DOI : 10.4153/CMB-2014-001-4
Mots-clés : 46B20, 46B04 
Godefroy, G. Uniqueness of Preduals in Spaces of Operators. Canadian mathematical bulletin, Tome 57 (2014) no. 4, pp. 810-813. doi: 10.4153/CMB-2014-001-4
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     author = {Godefroy, G.},
     title = {Uniqueness of {Preduals} in {Spaces} of {Operators}},
     journal = {Canadian mathematical bulletin},
     pages = {810--813},
     year = {2014},
     volume = {57},
     number = {4},
     doi = {10.4153/CMB-2014-001-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2014-001-4/}
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