A remark on Ʌ-systems in Banach spaces
J. R. Holub (1971)
Colloquium Mathematicae
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Displaying similar documents to “A new proof of a Lemma by Phelps.”
A remark on Ʌ-systems in Banach spaces
On a fixed-point theorem of Banach type
Jochen Reinermann (1970)
Annales Polonici Mathematici
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Some fixed point theorems in Banach spaces
K. Goebel, E. Złotkiewicz (1971)
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On the structure of solutions sets of differential and integral equations in Banach spaces
Stanisław Szufla (1977)
Annales Polonici Mathematici
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Extremal properties of the set of vector-valued Banach limits
Francisco Javier García-Pacheco (2015)
Open Mathematics
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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...
A functional-differential equation in a Banach space
Bogdan Rzepecki (1979)
Annales Polonici Mathematici
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Some remarks on the history of functional analysis.
Ciesielski, K., Moslehian, M.S. (2010)
Annals of Functional Analysis (AFA) [electronic only]
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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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On the existence of solutions of differential equations of retarded type in a Banach space
V. Lakshmikantham, A. R. Mitchell, R. W. Mitchell (1978)
Annales Polonici Mathematici
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How far is C₀(Γ,X) with Γ discrete from C₀(K,X) spaces?
Leandro Candido, Elói Medina Galego (2012)
Fundamenta Mathematicae
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For a locally compact Hausdorff space K and a Banach space X we denote by C₀(K,X) the space of X-valued continuous functions on K which vanish at infinity, provided with the supremum norm. Let n be a positive integer, Γ an infinite set with the discrete topology, and X a Banach space having non-trivial cotype. We first prove that if the nth derived set of K is not empty, then the Banach-Mazur distance between C₀(Γ,X) and C₀(K,X) is greater than or equal to 2n + 1. We also show that the...