Rolle's theorem and negligibility of points in infinite dimensional Banach spaces.
D. Azagra, J. Gómez, J. A. Jaramillo (1996)
Extracta Mathematicae
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Displaying similar documents to “Spaces of continuous functions into a Banach space”
Rolle's theorem and negligibility of points in infinite dimensional Banach spaces.
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Extremal properties of the set of vector-valued Banach limits
Francisco Javier García-Pacheco (2015)
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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 space of bounded sequences, which turns out to happen only when the underlying space is complete. Finally, a study on the extremal structure of the set of vector-valued Banach limits is conducted...