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The space $ (l\sb \infty/c\sb 0,\;{\rm weak})$ is not a Radon space


Authors: José L. de María and Baltasar Rodríguez-Salinas
Journal: Proc. Amer. Math. Soc. 112 (1991), 1095-1100
MSC: Primary 46B25
MathSciNet review: 1045590
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Abstract: Talagrand [10] gives an example of a Banach space with weak topology which is not a Radon space, independently of their weight. This result gives an answer to a question formulated by Schwartz [9]. In this paper, following the papers of Drewnowski and Roberts [1] and Talagrand [10], we prove that the classical space ( $ {l_\infty }/{c_0}$, weak) is not a Radon space.


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DOI: https://doi.org/10.1090/S0002-9939-1991-1045590-8
Article copyright: © Copyright 1991 American Mathematical Society