-Kohomologie und approximationen des Laplaceoperators
La distance intégrée de Kobayashi sur une variété Banachique complexe
Nel caso di una varietà di Banach complessa , si costruisce una regolarizzata della metrica infinitesimale di Kobayashi. Se ne deduce una distanza integrata di Kobayashi e, se è iperbolica, si mostra che questa distanza è uguale alla distanza di Kobayashi.
La théorie des points fixes des applications à itérée condensante
Large time behavior of the heat kernel: the parabolic ...-potential alternative.
Le groupe des automorphismes analytiques d'un domaine borné d'un espace de Banach complexe. Application aux domaines bornés symétriques
Le problème d'équivalence pour les pseudogroupes de Lie : méthodes intrinsèques
Length minimizing Hamiltonian paths for symplectically aspherical manifolds
In this note we consider the length minimizing properties of Hamiltonian paths generated by quasi-autonomous Hamiltonians on symplectically aspherical manifolds. Motivated by the work of Polterovich and Schwarz, we study the role, in the Floer complex of the generating Hamiltonian, of the global extrema which remain fixed as the time varies. Our main result determines a natural condition which implies that the corresponding path minimizes the positive Hofer length. We use this to prove that a quasi-autonomous Hamiltonian...
L’équation dans les ouverts pseudo-convexes des espaces DFN
Les automorphismes analytiques isométriques d'une variété complexe normée
Les motifs de Tate et les opérateurs de périodicité de Connes
Dans cet article, nous définissons une catégorie des motifs sur une catégorie monoïdale symétrique vérifiant certaines hypothèses. Le rôle des espaces sur est joué par les monoïdes (non necessairement commutatifs) dans . Pour définir les morphismes dans , nous utilisons des classes dans les groupes d’homologie cyclique bivariante. Le but est de montrer que les opérateurs de périodicité de Connes induisent des morphismes dans , où est le motif de Tate dans .
Levi forms, differential forms of type (0,1) and pseudoconvexity in Banach spaces
L-homology theory of FSQL-manifolds and the degree of FSQL-mappings
A homology theory of Banach manifolds of a special form, called FSQL-manifolds, is developed, and also a homological degree of FSQL-mappings between FSQL-manifolds is introduced.
Lie group extensions associated to projective modules of continuous inverse algebras
We call a unital locally convex algebra a continuous inverse algebra if its unit group is open and inversion is a continuous map. For any smooth action of a, possibly infinite-dimensional, connected Lie group on a continuous inverse algebra by automorphisms and any finitely generated projective right -module , we construct a Lie group extension of by the group of automorphisms of the -module . This Lie group extension is a “non-commutative” version of the group of automorphism...
Linear algebra and differential geometry on abstract Hilbert space.
L'invariance topologique du type simple d'homotopie
Localizations for construction of quantum coset spaces
Viewing comodule algebras as the noncommutative analogues of affine varieties with affine group actions, we propose rudiments of a localization approach to nonaffine Hopf algebraic quotients of noncommutative affine varieties corresponding to comodule algebras. After reviewing basic background on noncommutative localizations, we introduce localizations compatible with coactions. Coinvariants of these localized coactions give local information about quotients. We define Zariski locally trivial quantum...
Locally flat embeddings of Hilbert cubes are flat