Extremal properties of the set of vector-valued Banach limits
In this manuscript we find another class of real Banach spaces which admit vector-valued Banach limits different from the classes found in [6, 7]. We also characterize the separating subsets of ℓ∞(X). For this we first need to study when the space of almost convergent sequences is closed in the spac...
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Format: | Article |
Language: | English |
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De Gruyter
2015-11-01
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Series: | Open Mathematics |
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Online Access: | https://doi.org/10.1515/math-2015-0067 |