On a property of rearrangement invariant spaces whose second Köthe dual is nonseparable

DOI10.1134/S0001434620010022zbMath1456.46024OpenAlexW3010278698MaRDI QIDQ2191931

Serguei V. Astashkin, Evgeny M. Semenov

Publication date: 26 June 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620010022

zbMATH Keywords

subspacerearrangement invariant spaceMarcinkiewicz spaceKöthe dual 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)

Related Items (5)

Orthogonality in nonseparable rearrangement-invariant spaces ⋮ On spaces associated with weighted Cesàro and Copson spaces ⋮ ON A CHARACTERISTIC OF STRONGLY EMBEDDED SUBSPACES IN SYMMETRIC SPACES ⋮ The structure of subspaces in Orlicz spaces lying between \(L^1\) and \(L^2\) ⋮ Orthogonal elements in nonseparable rearrangement invariant spaces

Cites Work

• On Banach lattices and spaces having local unconditional structure, with applications to Lorentz function spaces
• Complemented Hilbertian subspaces in rearrangement invariant function spaces
• \({\Lambda}(p)\)-spaces
• Projectors in certain Banach lattices
• Bases, lacunary sequences and complemented subspaces in the spaces $L_{p}$
• Colacunary sequences in L-spaces
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