Hypercyclic convolution operators on entire functions of Hilbert-Schmidt holomorphy type
Idéaux fermés de fonctions
Idéaux fermés de fonctions (fin)
Intégrité du complété et théorème de Stone-Weierstrass
Intersections of minimal prime ideals in the rings of continuous functions
A space is called -compact by M. Mandelker if the intersection of all free maximal ideals of coincides with the ring of all functions in with compact support. In this paper we introduce -compact and -compact spaces and we show that a space is -compact if and only if it is both -compact and -compact. We also establish that every space admits a -compactification and a -compactification. Examples and counterexamples are given.
Intervention de la bornologie dans la convexité holomorphe
Invariant norms for C(T)
La topologie de la convergence bornée sur les algèbres de fonctions continues
Le théorème des zéros pour les idéaux de fonctions différentiables en dimension 2 et 3
On caractérise, à l’aide de la notion algébrique d’idéal réel, les idéaux fermés de type fini de l’anneau des fonctions différentiables sur ayant la propriété des zéros, et les idéaux fermés principaux de ayant la propriété des zéros.
Linear topological properties of the Lumer-Smirnov class of the polydisc
Linear topological properties of the Lumer-Smirnov class of the unit polydisc are studied. The topological dual and the Fréchet envelope are described. It is proved that has a weak basis but it is nonseparable in its original topology. Moreover, it is shown that the Orlicz-Pettis theorem fails for .
Locally constant functions
Let X be a compact Hausdorff space and M a metric space. is the set of f ∈ C(X,M) such that there is a dense set of points x ∈ X with f constant on some neighborhood of x. We describe some general classes of X for which is all of C(X,M). These include βℕ, any nowhere separable LOTS, and any X such that forcing with the open subsets of X does not add reals. In the case where M is a Banach space, we discuss the properties of as a normed linear space. We also build three first countable Eberlein...
Maximal ideals in the Lie algebra of vector fields
Mosco convergence of sequences of homogeneous polynomials.
In this paper we give a characterization of uniform convergence on weakly compact sets, for sequences of homogeneous polynomials in terms of the Mosco convergence of their level sets. The result is partially extended for holomorphic functions. Finally we study the relationship with other convergences.
Moyennes de fonctions et opérateurs multiplicativement liés
Multiplication operators on weighted spaces of continuous functions.
Multiplicative Derivations on C(X).
Multiplicative functionals on algebras of differentiable functions.
Let Ω be an open subset of a real Banach space E and, for 1 ≤ m ≤, let Cm(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: Cm(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 ∈ Cm(Ω). This problem has been considered in [1,4,5] and [6]. In [6], a positive answer is given in the case that...
Multiplicative functionals on function algebras.
Multiplicative linear functionals on some algebras of holomorphic functions with restricted growth
Multipliers and hereditary subalgebras of operator algebras
We generalize some technical results of Glicksberg to the realm of general operator algebras and use them to give a characterization of open and closed projections in terms of certain multiplier algebras. This generalizes a theorem of J. Wells characterizing an important class of ideals in uniform algebras. The difficult implication in our main theorem is that if a projection is open in an operator algebra, then the multiplier algebra of the associated hereditary subalgebra arises as the closure...