𝐿_{𝑝}+𝐿_{∞} and 𝐿_{𝑝}∩𝐿_{∞} are not isomorphic for all 1≤𝑝<∞, 𝑝≠2

DOI10.1090/proc/13928zbMath1395.46014arXiv1704.01717OpenAlexW2747226706MaRDI QIDQ4604694

Lech Maligranda, Serguei V. Astashkin

Publication date: 5 March 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.01717

zbMATH Keywords

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

Related Items (3)

\(L_p + L_q\) and \(L_p \cap L_q\) are not isomorphic for all \(1 \leq p\), \(q\leq \infty\), \(p\neq q\) ⋮ Isomorphic Structure of Cesàro and Tandori Spaces ⋮ (Non-)Dunford-Pettis operators on noncommutative symmetric spaces

Cites Work

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• The \(K\)-functional for \(p\)-convexifications
• A scale of linear spaces related to the \(L_ p\) scale
• Complemented Hilbertian subspaces in rearrangement invariant function spaces
• Banach spaces whose duals contain complemented subspaces isomorphic to C\([0,1\)]
• Intersection of Lebesgue Spaces L 1 and L 2
• Symmetric structures in Banach spaces
• On the best constants in the Khinchin inequality
• Lattice structures on Banach spaces
• Isomorphic Structure of Cesàro and Tandori Spaces
• Banach Spaces Whose Duals Contain l 1 (Γ) With Applications to the Study of Dual L 1 (μ) Spaces
• Sur Certains Sous-Espaces Vectoriels De L^p

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