\(L_p + L_q\) and \(L_p \cap L_q\) are not isomorphic for all \(1 \leq p\), \(q\leq \infty\), \(p\neq q\)

DOI10.1016/J.CRMA.2018.04.019zbMath1398.46008arXiv1804.03469OpenAlexW2799485303MaRDI QIDQ1636160

Lech Maligranda, Serguei V. Astashkin

Publication date: 4 June 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.03469

zbMATH Keywords

isomorphismfunction space

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

Related Items (1)

(Non-)Dunford-Pettis operators on noncommutative symmetric spaces

Cites Work

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• 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
• Interpolation of Quasi-Normed Spaces.

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