Extension of bilinear forms from subspaces of -spaces.
Multiplicative functionals on algebras of differentiable functions.
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 that m <...
C...-Bounding Sets and Compactness.
On the spectrum of C1b (E).
Variations on the Banach-Stone theorem.
Remarks on the weak-polynomial convergence on a Banach space.
We shall be concerned in this note with some questions posed by Carne, Cole and Gamelin in [3], involving the weak-polynomial convergence and its relation to the tightness of certain algebras of analytic functions on a Banach space.
Polynomials and geometry of Banach spaces.
In this paper we survey a large part of the results on polynomials on Banach spaces that have been obtained in recent years. We mainly look at how the polynomials behave in connection with certain geometric properties of the spaces.
Banach-Stone Theorems for Banach Manifolds.
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