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 .
Lifting of holomorphic mappings on locally convex spaces.
Lifting Properties for Some Quotients of L1-Spaces and Other Spaces L-Summand in Their Bidual.
Lifting uniformly continuous maps with values in nuclear Fréchet spaces
Lifting vector-valued maps
Lifting-Probleme für Vektorfunktionen und ...-Sequenzen.
Lifting-Sätze für Vektorfunktionen und (EL)-Räume.
Limacons, normal operators and polar factorizations.
Limit laws for products of free and independent random variables
We determine the distributional behavior of products of free (in the sense of Voiculescu) identically distributed random variables. Analogies and differences with the classical theory of independent random variables are then discussed.
Limit laws for Random matrices and free products.
Limit Measures Related to the Conditionally Free Convolution
We describe the limit measures for some class of deformations of the free convolution, introduced by A. D. Krystek and Ł. J. Wojakowski. In particular, we provide a counterexample to a conjecture from their paper.
Limit points of arithmetic means of sequences in Banach spaces
We shall prove the following statements: Given a sequence in a Banach space enjoying the weak Banach-Saks property, there is a subsequence (or a permutation) of the sequence such that whenever belongs to the closed convex hull of the set of weak limit points of . In case has the Banach-Saks property and is bounded the converse assertion holds too. A characterization of reflexive spaces in terms of limit points and cores of bounded sequences is also given. The motivation for the...
Limit properties of ordered families of linear metric spaces