L-sets and the Pelczynski-Pitt theorem.
L-summands in their biduals have Pełczyński's property (V*)
Banach spaces which are L-summands in their biduals - for example , the predual of any von Neumann algebra, or the dual of the disc algebra - have Pełczyński’s property (V*), which means that, roughly speaking, the space in question is either reflexive or is weakly sequentially complete and contains many complemented copies of .
LUR renormings through Deville's Master Lemma.
Lusin sets and generalized spectra of topological algebras
Lyapunov theorem for q-concave Banach spaces
A generalization of the Lyapunov convexity theorem is proved for a vector measure with values in a Banach space with unconditional basis, which is q-concave for some q < ∞ and does not contain any isomorphic copy of l₂.
Łojasiewicz ideals in Denjoy-Carleman classes
The classical notion of Łojasiewicz ideals of smooth functions is studied in the context of non-quasianalytic Denjoy-Carleman classes. In the case of principal ideals, we obtain a characterization of Łojasiewicz ideals in terms of properties of a generator. This characterization involves a certain type of estimates that differ from the usual Łojasiewicz inequality. We then show that basic properties of Łojasiewicz ideals in the case have a Denjoy-Carleman counterpart.
l(Φ,φ) operators and (Φ,φ)-spaces.
A new class of linear and bounded operators is introduced. This class is more general than the classes of operators from [4], [5] and [8]. Using this class lΦ,φ we also introduce a class of locally convex spaces which is more general than the classes of the nuclear spaces [2], [3] and φ-nuclear spaces [6]. For this class of operators similar properties are established to those of the well known classes lp, lφ, lΦ and also the stability of the tensor product is proved. The stability of the tensor...
-barrelled spaces
-barrelled spaces, -bornological spaces: Ad addendum
-Bornological spaces
-ideals of compact operators into
We show for and subspaces of quotients of with a -unconditional finite-dimensional Schauder decomposition that is an -ideal in .
-factors and -factors for near quasi-norm on certain sequence spaces.
-ideals of compact operators
We study the position of compact operators in the space of all continuous linear operators and its subspaces in terms of ideals. One of our main results states that for Banach spaces and the subspace of all compact operators is an -ideal in the space of all continuous linear operators whenever and are - and -ideals in and , respectively, with and . We also prove that the -ideal in is separably determined. Among others, our results complete and improve some well-known results...
-Structure (a survey)
Mackey convergence and quasi-sequentially webbed spaces.
Mackey Topologies on Riesz Spaces and Weak Compactness.
Macroscopic limiting dynamics of a class of inhomogeneous mean field quantum systems
Majoration des semi-groupes de contractions de L1 et applications
Majorizations for Generalized s-Numbers in Semifinite von Neumann Algebras.
Majorizing measures and proportional subsets of bounded orthonormal systems..