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Positive embeddings of \(C(\Delta)\), \(L_ 1\), \(l_ 1(\Gamma)\), and \((\sum_ n + l^ n_\infty) l_ 1\)

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Publication:1838674
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DOI10.1007/BF01456061zbMath0511.46016MaRDI QIDQ1838674

Nassif Ghoussoub

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/163718


zbMATH Keywords

positive embeddings


Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Banach lattices (46B42)


Related Items

Linear versus lattice embeddings between Banach lattices ⋮ Factoring operators through Banach lattices not containing C(0,1)



Cites Work

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  • On Banach lattices and spaces having local unconditional structure, with applications to Lorentz function spaces
  • Embeddings of \(C(\Delta)\) and \(L^1[0,1\) in Banach lattices]
  • On the structure of non-weakly compact operators on Banach lattices
  • Martingales, \(G_{delta}\)-embeddings and quotients of \(L_1\).
  • On bases, finite dimensional decompositions and weaker structures in Banach spaces
  • On factors of C(\([0,1\)) with non-separable dual]
  • Banach spaces whose duals contain complemented subspaces isomorphic to C\([0,1\)]
  • Extensions and Liftings of Positive Linear Mappings on Banach Lattices
  • Banach Spaces Whose Duals Contain l 1 (Γ) With Applications to the Study of Dual L 1 (μ) Spaces
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