Les systèmes-produits et l'espace de Fock, d'après W. Arveson
Les topologies sygma-Lebesgue sur C(X).
We prove that if X is a compact topological space which contains a nontrivial metrizable connected closed subset, then the vector lattice C(X) does not carry any sygma-Lebesgue topology.
L’espace des fonctions localement sur un espace compactologique
L’espace (résumé)
L'espace usuel C ne possede aucun R.U.C-systeme orthonorme.
Letter to the Editor
Letter to the editors
Level sets of uniform quotient mappings from Rn to R do not need to be locally connected.
We give an example of a uniform quotient map from R2 to R which has non-locally connected level sets.
Levi forms, differential forms of type (0,1) and pseudoconvexity in Banach spaces
Levitin-Polyak well-posedness for equilibrium problems with functional constraints.
Lévy-Khinchine representation and Banach spaces of type and cotype
(LF)-Spaces, Quasi-Baire Spaces and the Strongest Locally Convex Topology.
L-holomorphic functions
L’hyperanneau des classes d’adèles
J’exposerai ici quelques résultats récents (obtenus en collaboration avec C. Consani [3], [4], [5], [6]) qui portent sur le cas limite de la “caractéristique ”. Le but principal est de montrer que l’espace des classes d’adèles d’un corps global, qui jusqu’à présent n’a été considéré que comme un espace (non-commutatif), admet en fait une structure algébrique naturelle. Nous verrons également que la construction de l’anneau de Witt d’un anneau de caractéristique admet un analogue en caractéristique...
Liapunov Decomposition of a Vector Measure.
Lie groupoids of mappings taking values in a Lie groupoid
Endowing differentiable functions from a compact manifold to a Lie group with the pointwise group operations one obtains the so-called current groups and, as a special case, loop groups. These are prime examples of infinite-dimensional Lie groups modelled on locally convex spaces. In the present paper, we generalise this construction and show that differentiable mappings on a compact manifold (possibly with boundary) with values in a Lie groupoid form infinite-dimensional Lie groupoids which we...
Lie triple ideals and Lie triple epimorphisms on Jordan and Jordan-Banach algebras
A linear subspace M of a Jordan algebra J is said to be a Lie triple ideal of J if [M,J,J] ⊆ M, where [·,·,·] denotes the associator. We show that every Lie triple ideal M of a nondegenerate Jordan algebra J is either contained in the center of J or contains the nonzero Lie triple ideal [U,J,J], where U is the ideal of J generated by [M,M,M]. Let H be a Jordan algebra, let J be a prime nondegenerate Jordan algebra with extended centroid C and unital central closure Ĵ, and let...
Lifting and Desintegration
Lifting matrix units in C*-algebras II.
Lifting of certain isomorphic properties to .