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Nous donnons dans ce travail une caractérisation des algèbres (semi-simples) localement-convexes complètes faiblement topologisées au sens de S. Warner, ce qui clarifie, entre autres, plusiers résultats données sur certaines classes d'algèbres à base étudiées par de nombreux auteurs ([2], [6], [7]) pour approcher le problème de E. A. Michael sur la continuité des caractères dans les algèbres de Fréchet [9].

Théorèmes de structures de certaines algèbres, et continuité des caractères

Mohamed Akkar (1974/1975)

Séminaire Choquet. Initiation à l'analyse

Théorèmes de Trace et d'Interpolation (IV).

J.L. LIONS (1963)

Mathematische Annalen

Théorèmes d'identité en dimension infinie

Jan Chmielowski (1976)

Annales Polonici Mathematici

Theoremes of the Orlicz-Pettis-Type for Locally Convex Spaces.

Peter Dierolf (1977)

Manuscripta mathematica

Théorèmes sur le prolongement analytique du type «edge of the wedge theorem»

André Martineau (1966/1968)

Séminaire Bourbaki

Théorèmes taubériens et théorie spectrale

P. Coueignoux (1970/1971)

Séminaire Équations aux dérivées partielles (Polytechnique)

Theorems of Hicks and LeChatelier-Samuelson type in ideal Banach spaces of infinite sequences.

Carbone, Antonio (2005)

APPS. Applied Sciences

Theorems of Korovkin type for adapted spaces

Heinz Bauer (1973)

Annales de l'institut Fourier

It is shown that the methods developed in an earlier paper of the author about a Dirichlet problem for the Silov boundary [Annales Inst. Fourier, 11 (1961)] lead in a new and natural way to the most important results about the convergence of positive linear operators on spaces of continuous functions defined on a compact space. Choquet’s notion of an adapted space of continuous functions in connection with results of Mokobodzki-Sibony opens the possibility of extending these results to the case...

Theorems of Krein Milman type for certain convex sets of functions operators

Robert R. Phelps (1970)

Annales de l'institut Fourier

Sufficient conditions are given in order that, for a bounded closed convex subset $B$ of a locally convex space $E$ , the set $C (X, B)$ of continuous functions from the compact space $X$ into $B$ , is the uniformly closed convex hull in $C (X, E)$ of its extreme points. Applications are made to the unit ball of bounded (or compact, or weakly compact) operators from certain Banach spaces into $C (X)$ .

Theorems of the alternative for cones and Lyapunov regularity of matrices

Bryan Cain, Daniel Hershkowitz, Hans Schneider (1997)

Czechoslovak Mathematical Journal

Standard facts about separating linear functionals will be used to determine how two cones $C$ and $D$ and their duals $C^{*}$ and $D^{*}$ may overlap. When $T V \to W$ is linear and $K \subset V$ and $D \subset W$ are cones, these results will be applied to $C = T (K)$ and $D$ , giving a unified treatment of several theorems of the alternate which explain when $C$ contains an interior point of $D$ . The case when $V = W$ is the space $H$ of $n \times n$ Hermitian matrices, $D$ is the $n \times n$ positive semidefinite matrices, and $T (X) = A X + X^{*} A$ yields new and known results about the existence of block diagonal...

Theorems of the Stone-Weierstrass type for lattices of uniformly continuous functions.

Л.Н. Мохова (1981)

Sibirskij matematiceskij zurnal

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