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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Bibliographic Details
Main Author: García-Pacheco Francisco Javier
Format: Article
Language:English
Published: De Gruyter 2015-11-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2015-0067