contains every two-dimensional normed space
spaces fail a certain approximative property.
-limited-like properties on Banach spaces
We study weakly precompact sets and operators. We show that an operator is weakly precompact if and only if its adjoint is pseudo weakly compact. We study Banach spaces with the --limited and the -(SR) properties and characterize these classes of Banach spaces in terms of --limited and -Right subsets. The --limited property is studied in some spaces of operators.
La propriété de Banach Saks ne passe pas de à , d’après J. Bourgain
Lifting Properties for Some Quotients of L1-Spaces and Other Spaces L-Summand in Their Bidual.
Limited -converging operators and relation with some geometric properties of Banach spaces
By using the concepts of limited -converging operators between two Banach spaces and , -sets and -limited sets in Banach spaces, we obtain some characterizations of these concepts relative to some well-known geometric properties of Banach spaces, such as -Dunford–Pettis property of order and Pelczyński’s property of order , .
Lipschitz and uniform embeddings into
We show that there is no uniformly continuous selection of the quotient map relative to the unit ball. We use this to construct an answer to a problem of Benyamini and Lindenstrauss; there is a Banach space X such that there is a no Lipschitz retraction of X** onto X; in fact there is no uniformly continuous retraction from onto .
Locally uniformly non- Orlicz spaces
L-sets and the Pelczynski-Pitt theorem.