Abstract
We construct preduals ofl 1 which are nearly isometric without being isometric. We also show that ifX is nearly isometric to aC(K) space withK first countable, then they are in fact isometric.
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Benyamini, Y. Near isometries in the class ofL 1-preduals. Israel J. Math. 20, 275–281 (1975). https://doi.org/10.1007/BF02760332
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DOI: https://doi.org/10.1007/BF02760332