On embeddings in the intersection \(X\cap L_\infty\)

DOI10.1007/S43037-024-00380-8MaRDI QIDQ6646863

Sergey Astashkin

Publication date: 3 December 2024

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

rearrangement invariant spaceOrlicz spacecomplemented subspaceRademacher cotypeisomorphic spaceslattice-isomorphic spaces

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) Isomorphic theory (including renorming) of Banach spaces (46B03) Banach lattices (46B42)

Cites Work

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• A scale of linear spaces related to the \(L_ p\) scale
• Complementability of the subspace generated by the Rademacher system in a symmetric space
• \(L_p + L_q\) and \(L_p \cap L_q\) are not isomorphic for all \(1 \leq p\), \(q\leq \infty\), \(p\neq q\)
• Complemented Hilbertian subspaces in rearrangement invariant function spaces
• Some Banach space embeddings of classical function spaces
• Intersection of Lebesgue Spaces L 1 and L 2
• Symmetric structures in Banach spaces
• 𝐿_{𝑝}+𝐿_{∞} and 𝐿_{𝑝}∩𝐿_{∞} are not isomorphic for all 1≤𝑝<∞, 𝑝≠2
• Lattice structures on Banach spaces
• Sur Certains Sous-Espaces Vectoriels De L^p

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