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1
Content available remote

Complex Unconditional Metric Approximation Property for $C_{Λ}(𝕋)$ spaces

100%
Li D.
Studia Mathematica
|
1996
|
tom 121
|
nr 3
231-247
EN
We study the Complex Unconditional Metric Approximation Property for translation invariant spaces $C_{Λ}(𝕋)$ 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 $C_{Λ}(𝕋)$ has (ℂ-UMAP); though these sets are such that $L^{∞}_{Λ}(𝕋)$ contains functions which are not continuous, we show that there is a linear invariant lifting from these $L^{∞}_{Λ}(𝕋)$ spaces into the Baire class 1 functions.
2
Content available remote

On Hilbert sets and $C_{λ}(g)$-spaces with no subspace isomorphic to $c_0$

100%
Li D.
Colloquium Mathematicum
|
1995
|
tom 68
|
nr 1
67-77
3
Content available remote

Addendum to "On Hilbert sets and $C_{λ}(g)$-spaces with no subspace isomorphic to $c_0$"

100%
Li D.
Colloquium Mathematicum
|
1995
|
tom 68
|
nr 1
79
4
Content available remote

Some remarks on quasi-Cohen sets

64%
Lefèvre P., Li D.
Colloquium Mathematicum
|
2001
|
tom 89
|
nr 2
169-178
EN
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 $C(G)/C_{E^{c}}(G) ↪ L²_{E}(G)$ 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.
5
Content available remote

Weak compactness and Orlicz spaces

51%
Lefèvre P., Li D., Queffélec H., Rodríguez-Piazza L.
Colloquium Mathematicum
|
2008
|
tom 112
|
nr 1
23-32
EN
We give new proofs that some Banach spaces have Pełczyński's property (V).
6
Content available remote

Approximation numbers of composition operators on Hp

51%
Li D., Queffélec H., Rodríguez-Piazza L.
Concrete Operators
|
2015
|
tom 2
|
nr 1
EN
give estimates for the approximation numbers of composition operators on the Hp spaces, 1 ≤ p < ∞
7
Content available remote

The canonical injection of the Hardy-Orlicz space $H^{Ψ}$ into the Bergman-Orlicz space $𝔅^{Ψ}$

51%
Lefèvre P., Li D., Queffélec H., Rodríguez-Piazza L.
Studia Mathematica
|
2011
|
tom 202
|
nr 2
123-144
EN
We study the canonical injection from the Hardy-Orlicz space $H^{Ψ}$ into the Bergman-Orlicz space $𝔅^{Ψ}$.
8
Content available remote

Quantitative unconditionality of Banach spaces E for which K(E) is an M-ideal in ℒ(E)

44%
Li D.
Studia Mathematica
|
1990
|
tom 96
|
nr 1
39-50
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