CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

Uniqueness of preduals in spaces of operators

  • G. Godefroy,
    Institut de Mathématiques de Jussieu, 4 place Jussieu, 75005 Paris, France
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   LaTeX   MathJax   PDF  

Abstract

We show that if $E$ is a separable reflexive space, and $L$ is a weak-star closed linear subspace of $L(E)$ such that $L\cap K(E)$ is weak-star dense in $L$, then $L$ has a unique isometric predual. The proof relies on basic topological arguments.
MSC Classifications: 46B20, 46B04 show english descriptions Geometry and structure of normed linear spaces
Isometric theory of Banach spaces
46B20 - Geometry and structure of normed linear spaces
46B04 - Isometric theory of Banach spaces
 

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/