Abstract
Intuitively, non-smooth points might look like exposed points. However, in this paper we show that real Banach spaces having dimension greater than or equal to three can be equivalently renormed to obtain non-smooth points which are also non-exposed.
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Diestel J. Geometry of Banach Spaces-Selected Topics. Lecture Notes in Mathematics, Vol. 485. Berlin-New York: Springer-Verlag, 1975
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Dedicated to Dr. Antonio Aizpuru
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García-Pacheco, F.J. Renormings concerning exposed points and non-smoothness. Sci. China Ser. A-Math. 52, 1844–1848 (2009). https://doi.org/10.1007/s11425-009-0155-y
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DOI: https://doi.org/10.1007/s11425-009-0155-y