Isomorphic classification of 𝐿_{𝑝,𝑞}-spaces: the case 𝑝=2,1≤𝑞<2

DOI10.1090/proc/14058zbMath1406.46021OpenAlexW2776121244MaRDI QIDQ4577171

Olga Sadovskaya, Pheodor A. Sukochev

Publication date: 17 July 2018

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

Full work available at URL: https://doi.org/10.1090/proc/14058

zbMATH Keywords

Lorentz spaceisomorphic embedding

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) Nonseparable Banach spaces (46B26)

Related Items (5)

Lack of isomorphic embeddings of symmetric function spaces into operator ideals ⋮ Boundedness of the Hilbert transform in Lorentz spaces and applications to operator ideals ⋮ The boundedness of the Hilbert transformation from one rearrangement invariant Banach space into another and applications ⋮ Isomorphic classification of \(L_{p,q}\)-spaces. II ⋮ (Non-)Dunford-Pettis operators on noncommutative symmetric spaces

Cites Work

• Isomorphic classification of \(L_{p, q}\)-spaces
• Banach-Saks property in Marcinkiewicz spaces
• Subspaces of L p, q
• The Banach-Saks index
• The Banach–Saks property in rearrangement invariant spaces
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