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math.FA2015★ 8 cited
Smooth and polyhedral approximation in Banach spaces
Victor Bible, Richard J. Smith
We show that norms on certain Banach spaces can be approximated uniformly, and with arbitrary precision, on bounded subsets of by smooth norms and polyhedral n…
math.FA2015★ 22 cited
The Metric Approximation Property and Lipschitz-Free Spaces over Subsets of
Eva Pernecká, Richard J. Smith
We prove that for certain subsets , , the Lipschitz-free space has the metric approximation property (MAP), with respect t…