On (V*) sets and Pelczynski's property (V*)

DOI10.1017/S0017089500009113zbMath0693.46013OpenAlexW2163270872MaRDI QIDQ3468133

Fernando Bombal

Publication date: 1990

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500009113

zbMATH Keywords

Banach latticeBochner integrable functionweakly conditionally compactproperties (V) and \((V^*)\)

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Banach lattices (46B42)

Related Items (12)

\(L\)-sets and property \((SR^*)\) in spaces of compact operators ⋮ A study of (\(wV)\)-like property on Banach spaces ⋮ R-bounded approximating sequences and applications to semigroups ⋮ Properties (u) and (V\(^*\)) of Pelczynski in symmetric spaces of \(\tau \)-measurable operators ⋮ Unnamed Item ⋮ Weakly \(p\)-Dunford Pettis sets in \(L_1(\mu,X)\) ⋮ On the Banach spaces with the property \((V^*)\) of Pelczynski. II ⋮ Weak precompactness in the space of vector-valued measures of bounded variation ⋮ Ideals of operators onC∗-algebras and their preduals ⋮ STRONGLY BOUNDED REPRESENTING MEASURES AND CONVERGENCE THEOREMS ⋮ On some subsets of $L_1(\mu,E)$ ⋮ Isomorphisms between spaces of Lipschitz functions

Cites Work

• An averaging result for \(l^ 1-\)sequences and applications to weakly conditionally compact sets in \(L^ 1\).
• Dunford-Pettis sets in the space of Bochner integrable functions
• On Pelczynski's properties (V) \((V^ *)\)
• Reflexivity in Banach lattices and their subspaces
• Weak Cauchy Sequences in L 1 (E)
• On l₁ subspaces of Orlicz vector-valued function spaces
• On compactness in \(L_p(\mu,X)\) in the weak topology and in the topology \(\sigma(L_p(\mu,X),L_q(\mu,X'))\)

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