Vector Topologies and Linear Maps on Products of Topological Vector Spaces.
Suites absorbantes et suites bornivores dans les espaces localement convexes
Inductive Limits and Partitions of Unity.
Doubles limites ordonnées et théorèmes de minimax
On introduit une variante des “doubles limites interchangeables” de Grothendieck, les “doubles limites ordonnées” et on en déduit un théorème de maximinimax. En introduisant des conditions de convexité convenables, on transforme celui-ci en un théorème de minimax. Ces résultats permettant de retrouver de façon simple un théorème de maximinimax de Simons.
Barrelledness and the Supremum of Two Locally Convex Topologies.
Perturbation of Maps in Locally Convex Spaces.
Existence of star-products on exact symplectic manifolds
It is shown that if a manifold admits an exact symplectic form, then its Poisson Lie algebra has non trivial formal deformations and the manifold admits star-products. The non-formal derivations of the star-products and the deformations of the Poisson Lie algebra of an arbitrary symplectic manifold are studied.
Isomorphisms of Lie algebras of vector fields
Invariant cohomology of the Poisson Lie algebra of a symplectic manifold
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