Packing constant and Musielak-Orlicz sequence spaces equipped with the Luxemburg norm.
Packing in Orlicz sequence spaces
We show how one can, in a unified way, calculate the Kottman and the packing constants of the Orlicz sequence space defined by an N-function, equipped with either the gauge or Orlicz norms. The values of these constants for a class of reflexive Orlicz sequence spaces are found, using a quantitative index of N-functions and some interpolation theorems. The exposition is essentially selfcontained.
Pelczynski's Property (V) on C (.., E) Spaces.
Plongement de dans certains espaces de Banach
Positive Embeddings of C (...), L1, lt (...), and (......)1.
Préduaux d'espaces de Banach
Primariness of some spaces of continuous functions.
Products of Lipschitz-free spaces and applications
We show that, given a Banach space X, the Lipschitz-free space over X, denoted by ℱ(X), is isomorphic to . Some applications are presented, including a nonlinear version of Pełczyński’s decomposition method for Lipschitz-free spaces and the identification up to isomorphism between ℱ(ℝⁿ) and the Lipschitz-free space over any compact metric space which is locally bi-Lipschitz embeddable into ℝⁿ and which contains a subset that is Lipschitz equivalent to the unit ball of ℝⁿ. We also show that ℱ(M)...
Properties of Sequence Spaces in Which l1 is Weakly Compactly Embedded.
Property and of Orlicz spaces
Pseudocomplémentation dans les espaces de Banach
This paper introduces the following definition: a closed subspace Z of a Banach space E is pseudocomplemented in E if for every linear continuous operator u from Z to Z there is a linear continuous extension ū of u from E to E. For instance, every subspace complemented in E is pseudocomplemented in E. First, the pseudocomplemented hilbertian subspaces of are characterized and, in with p in [1, + ∞[, classes of closed subspaces in which the notions of complementation and pseudocomplementation...