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Some of the examples in this paper appear in the author's Ph.D. thesis written at the University of Illinois under the supervision of Professor M. M. Day
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Smith, M.A. Some examples concerning rotundity in Banach spaces. Math. Ann. 233, 155–161 (1978). https://doi.org/10.1007/BF01421923
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DOI: https://doi.org/10.1007/BF01421923