On the Dunford-Pettis property and Banach spaces that contain \(c_0\)

DOI10.1007/BF01430962zbMath0294.46010MaRDI QIDQ1212641

Stephen Simons

Publication date: 1975

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162741

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Normed linear spaces and Banach spaces; Banach lattices (46Bxx)

Related Items (5)

A generalization of Rosenthal's lemma ⋮ Perturbation of \(\ell_1\)-copies in preduals of \(\operatorname{JBW}^\ast\)-triples ⋮ Compact operators in Banach lattices ⋮ Dunford-Pettis property ⋮ Weak Banach-Saks property and Komlós’ theorem for preduals of JBW*-triples

Cites Work

• Unnamed Item
• A theorem on lattice ordered groups, results of Pták, Namioka and Banach, and a frontended proof of Lebesgue's theorem
• A convergence theorem with boundary
• On bases and unconditional convergence of series in Banach spaces
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)

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