Embeddings of \(C(\Delta)\) and \(L^1[0,1]\) in Banach lattices
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Publication:1250592
DOI10.1007/BF02760548zbMath0388.46014MaRDI QIDQ1250592
Haskell P. Rosenthal, Heinrich P. Lotz
Publication date: 1978
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Banach lattices (46B42) Lattices of continuous, differentiable or analytic functions (46E05) Ordered topological linear spaces, vector lattices (46A40)
Related Items (11)
Counterexamples to Several Problems on the Factorization of Bounded Linear Operators ⋮ Linear versus lattice embeddings between Banach lattices ⋮ Sublattices of the Banach envelope of weak 𝐿¹ ⋮ On the weak compactness in Banach lattices ⋮ The dual Radon-Nikodym property for finitely generated Banach \(C(K)\)-modules ⋮ Order dentability and the Radon-Nikodym property in Banach lattices ⋮ Factoring operators through Banach lattices not containing C(0,1) ⋮ On the structure of non-weakly compact operators on Banach lattices ⋮ Positive embeddings of \(C(\Delta)\), \(L_ 1\), \(l_ 1(\Gamma)\), and \((\sum_ n + l^ n_\infty) l_ 1\) ⋮ Martingales, \(G_{delta}\)-embeddings and quotients of \(L_1\). ⋮ Decompositions of Banach Lattices into Direct Sums
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- Extensions and Liftings of Positive Linear Mappings on Banach Lattices
- On Banach spaces containing $L_{1}(μ)$
- On C(S)-subspaces of separable Banach spaces
- Some more Banach spaces which contain l¹
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