Le problème de Levi en dimension infinie
Le problème des 3 espaces : un contre-exemple de J. Lindenstrauss
Le problème des enveloppes
Le problème du sur un espace de Hilbert
Le théorème de Dvoretzky
Le théorème de Dvoretzky (suite)
Le théorème de Korovkin dans et
Le théorème de Lévy-Khinčin
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.
Le théorème taubérien de Wiener et l'équation de la chaleur
Lebesgue measure and mappings of the Sobolev class
We present a survey of the Lusin condition (N) for -Sobolev mappings defined in a domain G of . Applications to the boundary behavior of conformal mappings are discussed.
Lebesgue points for Sobolev functions on metric spaces.
Our main objective is to study the pointwise behaviour of Sobolev functions on a metric measure space. We prove that a Sobolev function has Lebesgue points outside a set of capacity zero if the measure is doubling. This result seems to be new even for the weighted Sobolev spaces on Euclidean spaces. The crucial ingredient of our argument is a maximal function related to discrete convolution approximations. In particular, we do not use the Besicovitch covering theorem, extension theorems or representation...
Lebesgue points in variable exponent spaces.
Lectures on Lyusternik-Schnirelman theory for indefinite nonlinear eigenvalue problems and its applications
Left quotients of a C*-algebra, III: Operators on left quotients
Let L be a norm closed left ideal of a C*-algebra A. Then the left quotient A/L is a left A-module. In this paper, we shall implement Tomita’s idea about representing elements of A as left multiplications: . A complete characterization of bounded endomorphisms of the A-module A/L is given. The double commutant of in B(A/L) is described. Density theorems of von Neumann and Kaplansky type are obtained. Finally, a comprehensive study of relative multipliers of A is carried out.
Left-covariant differential calculi on
We study dimensional left-covariant differential calculi on the quantum group . In this way we obtain four classes of differential calculi which are algebraically much simpler as the bicovariant calculi. The algebra generated by the left-invariant vector fields has only quadratic-linear relations and posesses a Poincaré-Birkhoff-Witt basis. We use the concept of universal (higher order) differential calculus associated with a given left-covariant first order differential calculus. It turns out...
Legendre transforms and -particle irreducibility in quantum field theory : the formalism for fermions
Leibniz Rule
Leja's type polynomial condition and polynomial approximation in Orlicz spaces
L'enveloppe locale des perturbations d'une union de plans totalement réels qui se coupent en une droite réelle.
In this note by using techniques similar to that of [2] and [3], we study the local polynomial convexity of perturbation of union of two totally real planes meeting along a real line.