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Displaying similar documents to “Classes of nonseparable Banach spaces with no universal element”

Multiplicative functionals on algebras of differentiable functions.

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 note on weakly Lindelöf determined Banach spaces

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.