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- W2022886768 abstract "We study conditions on a set in a Banach space which are necessary or sufficient for the set of all sums , , to be dense in . We distinguish conditions under which the closure is an additive subgroup of , and conditions under which this additive subgroup is dense in . In particular, we prove that if is a closed rectifiable curve in a uniformly convex and uniformly smooth Banach space , and does not lie in a closed half-space , , and is minimal in the sense that every proper subarc of lies in an open half-space , then . We apply our results to questions of approximation in various function spaces." @default.
- W2022886768 created "2016-06-24" @default.
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- W2022886768 date "2014-12-23" @default.
- W2022886768 modified "2023-10-17" @default.
- W2022886768 title "Density of a semigroup in a Banach space" @default.
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- W2022886768 doi "https://doi.org/10.1070/im2014v078n06abeh002721" @default.
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