Abstract
We present a construction of uniformly smooth norms from uniformly smooth bumb functions without making use of the Implicit Function Theorem.
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Supported by the Killam Trust (Canada).
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Tang, W.K. Uniformly differentiable bump functions. Arch. Math. 68, 55–59 (1997). https://doi.org/10.1007/PL00000394
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DOI: https://doi.org/10.1007/PL00000394