La propriété de Dunford-Pettis dans \(C(K,E)\) et \(L^ 1(E)\)

DOI10.1007/BF02761990zbMath0523.46015OpenAlexW2085896464MaRDI QIDQ584678

Michel Talagrand

Publication date: 1983

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02761990

zbMATH Keywords

Schur propertyspace of continuous functionsspace of integrable functionsDunford- Pettis property

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Classical Banach spaces in the general theory (46B25) Vector-valued measures and integration (46G10) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (21)

The alternative Dunford--Pettis property on projective tensor products ⋮ On spreading models in $L\sp 1(E)$ ⋮ Some isomorphic preduals of \(\ell_1\) which are isomorphic to \(c_0\) ⋮ On the Dunford-Pettis property in spaces of vector-valued bounded functions ⋮ Dunford-Pettis properties, Hilbert spaces and projective tensor products ⋮ On the Banach spaces with the property \((V^*)\) of Pelczynski. II ⋮ A class of weakly compact sets in Lebesgue-Bochner spaces ⋮ On Weakly Compact Operators on Spaces of Vector Valued Continuous Functions ⋮ Dunford-Pettis property ⋮ On Banach spaces of vector valued continuous functions ⋮ 𝐶(𝐾,𝐴) and 𝐶(𝐾,𝐻^{∞}) have the Dunford-Pettis property ⋮ Some permanence results of the Dunford-Pettis and Grothendieck properties in lcHs ⋮ STRONGLY BOUNDED REPRESENTING MEASURES AND CONVERGENCE THEOREMS ⋮ The alternative Dunford--Pettis property for subspaces of the compact operators ⋮ Some remarks on the Dunford-Pettis property ⋮ Convolution Operators on Spaces of Vector-Valued Functions that are Completely Continuous ⋮ On the surjective Dunford-Pettis property ⋮ On some subsets of $L_1(\mu,E)$ ⋮ Weakly sequentially continuous differentiable mappings ⋮ The Dunford--Pettis and the Kadec--Klee properties on tensor products of JB*-triples ⋮ Some classes of operators on \(C(K,E)\). Extensions and applications

Cites Work

• A counterexample to several questions about Banach spaces
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)

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