Abstract
It is shown that irreflexive Banach spaces are imperfect: thus the “perfect” spaces are exactly the reflexive Banach spaces and “mixed” spaces do not exist.
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This paper is part of the author’s M.Sc. dissertation, performed under guidance of Dr. D. Amir at the Technion — Israel Institute of Technology. The author wishes to thank Dr. Amir for his help.
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Friedland, D. Irreflexive Banach spaces are imperfect. Israel J. Math. 8, 30–33 (1970). https://doi.org/10.1007/BF02771547
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DOI: https://doi.org/10.1007/BF02771547