Lifting Properties for Some Quotients of L1-Spaces and Other Spaces L-Summand in Their Bidual.
On Hilbert sets and -spaces with no subspace isomorphic to
Addendum to “On Hilbert sets and -spaces with no subspace isomorphic to ”
Complex Unconditional Metric Approximation Property for spaces
We study the Complex Unconditional Metric Approximation Property for translation invariant spaces of continuous functions on the circle group. We show that although some “tiny” (Sidon) sets do not have this property, there are “big” sets Λ for which has (ℂ-UMAP); though these sets are such that contains functions which are not continuous, we show that there is a linear invariant lifting from these spaces into the Baire class 1 functions.
Quantitative unconditionality of Banach spaces E for which K(E) is an M-ideal in ℒ(E)
Some natural families of M-ideals.
Some remarks on quasi-Cohen sets
We are interested in Banach space geometry characterizations of quasi-Cohen sets. For example, it turns out that they are exactly the subsets E of the dual of an abelian compact group G such that the canonical injection is a 2-summing operator. This easily yields an extension of a result due to S. Kwapień and A. Pełczyński. We also investigate some properties of translation invariant quotients of L¹ which are isomorphic to subspaces of L¹.
Approximation numbers of composition operators on H p
give estimates for the approximation numbers of composition operators on the Hp spaces, 1 ≤ p < ∞
Weak compactness and Orlicz spaces
We give new proofs that some Banach spaces have Pełczyński's property (V).
The canonical injection of the Hardy-Orlicz space into the Bergman-Orlicz space
We study the canonical injection from the Hardy-Orlicz space into the Bergman-Orlicz space .
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