On lifting the approximation property from a Banach space to its dual
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- by Åsvald Lima
- Proc. Amer. Math. Soc. 143 (2015), 213-217
- DOI: https://doi.org/10.1090/S0002-9939-2014-12208-8
- Published electronically: August 28, 2014
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Abstract:
We prove that if a Banach space is extendably locally reflexive, then it is compactly locally reflexive. Using results by Lima and Lima, this implies that if a Banach space has the approximation property and is extendably locally reflexive, then its dual space has the approximation property.References
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Bibliographic Information
- Åsvald Lima
- Affiliation: Department of Mathematics, University of Agder, Serviceboks 422, N-4604 Kristiansand, Norway
- Email: Asvald.Lima@uia.no
- Received by editor(s): March 5, 2013
- Received by editor(s) in revised form: March 19, 2013
- Published electronically: August 28, 2014
- Communicated by: Thomas Schlumprecht
- © Copyright 2014 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 213-217
- MSC (2010): Primary 46B28; Secondary 46B20, 47L05
- DOI: https://doi.org/10.1090/S0002-9939-2014-12208-8
- MathSciNet review: 3272746