On remotality for convex sets in Banach spaces |
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| Authors: | Miguel Martín TSSRK Rao |
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| Institution: | 1. Departamento de Análisis Matemático, Facultad de Ciencias, Campus Universitario de Fuentenueva, Universidad de Granada, E-18071 Granada, Spain;2. Stat–Math Unit, Indian Statistical Institute, R. V. College P.O., Bangalore 560059, India |
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| Abstract: | We show that every infinite dimensional Banach space has a closed and bounded convex set that is not remotal. This settles a problem raised by Sababheh and Khalil in M. Sababheh, R. Khalil, Remotality of closed bounded convex sets, Numer. Funct. Anal. Optim. 29 (2008) 1166–1170]. |
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