On the Radon-Nikodym property in function spaces
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- by Guillermo P. Curbera and Werner J. Ricker
- Proc. Amer. Math. Soc. 145 (2017), 617-626
- DOI: https://doi.org/10.1090/proc/13414
- Published electronically: October 13, 2016
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Abstract:
We exhibit a large class of Banach function spaces which fail to have the Radon-Nikodym property.References
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Bibliographic Information
- Guillermo P. Curbera
- Affiliation: Facultad de Matemáticas & IMUS, Universidad de Sevilla, Aptdo. 1160, Sevilla 41080, Spain
- MR Author ID: 312355
- Email: curbera@us.es
- Werner J. Ricker
- Affiliation: Math.–Geogr. Fakultät, Katholische Universität Eichstätt–Ingolstadt, D–85072 Eichstätt, Germany
- Email: werner.ricker@ku.de
- Received by editor(s): January 11, 2016
- Published electronically: October 13, 2016
- Additional Notes: The first author acknowledges the support of the “International Visiting Professor Program 2015” from the Ministry of Education, Science and Art, Bavaria (Germany), and of MTM2012-36732-C03-03, MINECO (Spain).
- Communicated by: Thomas Schlumprecht
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 617-626
- MSC (2010): Primary 46G05, 46E30; Secondary 28B05
- DOI: https://doi.org/10.1090/proc/13414
- MathSciNet review: 3577865