Isomorphic classification of \(L_{p, q}\)-spaces

DOI10.1016/J.JFA.2015.06.012zbMath1342.46020OpenAlexW889838506MaRDI QIDQ490728

A. Kuryakov, Pheodor A. Sukochev

Publication date: 28 August 2015

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2015.06.012

zbMATH Keywords

isomorphic embeddingLorentz spaces\(L_{p, q}\)-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)

Related Items (4)

Lack of isomorphic embeddings of symmetric function spaces into operator ideals ⋮ Isomorphic classification of 𝐿_{𝑝,𝑞}-spaces: the case 𝑝=2,1≤𝑞<2 ⋮ Isomorphic classification of \(L_{p,q}\)-spaces. II ⋮ (Non-)Dunford-Pettis operators on noncommutative symmetric spaces

Cites Work

• Equidistributed random variables in \(L_{p,q}\)
• A scale of linear spaces related to the \(L_ p\) scale
• Banach-Saks property in Marcinkiewicz spaces
• Subspaces of L p, q
• Isomorphism of certain weak $L^{p}$ spaces
• The Banach-Saks index
• The Banach–Saks property in rearrangement invariant spaces
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