On the Gelfand-Phillips property in Banach spaces with PRI.
D. P. Sinha, K. K. Arora (1997)
Collectanea Mathematica
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D. P. Sinha, K. K. Arora (1997)
Collectanea Mathematica
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W. Szlenk (1968)
Studia Mathematica
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V. Montesinos (1987)
Studia Mathematica
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Jesús A. Jaramillo (1990)
Extracta Mathematicae
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Let Ω be an open subset of a real Banach space E and, for 1 ≤ m ≤, let C(Ω) denote the algebra of all m-times continuously Fréchet differentiable real functions defined on Ω. We are concerned here with the question as to wether every nonzero algebra homomorphism φ: C(Ω) → R is given by evaluation at some point of Ω, i.e., if there exists some a ∈ Ω such that φ(f) = f(a) for each f ∈ C(Ω). This problem has been considered in [1,4,5] and [6]. In [6], a positive answer is given in the case...
A. González, Vicente Montesinos (2009)
Czechoslovak Mathematical Journal
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We prove that weakly Lindelöf determined Banach spaces are characterized by the existence of a ``full'' projectional generator. Some other results pertaining to this class of Banach spaces are given.
Benavides, T.Domínguez (2010)
Fixed Point Theory and Applications [electronic only]
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M.R. Taskovic (1976)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Ljubomir Ćirić (1984)
Publications de l'Institut Mathématique
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Pandelis Dodos (2010)
Studia Mathematica
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We characterize those classes 𝓒 of separable Banach spaces for which there exists a separable Banach space Y not containing ℓ₁ and such that every space in the class 𝓒 is a quotient of Y.