A hereditarily ℓ₁ subspace of 𝐿₁ without the Schur property

DOI10.1090/S0002-9939-05-07758-0zbMath1080.46007OpenAlexW1480421215MaRDI QIDQ4663454

Mikhail M. Popov

Publication date: 31 March 2005

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-07758-0

zbMATH Keywords

Schur propertyhereditarily-\(\ell_1\) Banach space

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03)

Related Items (4)

Banach spaces with a basis that are hereditarily asymptotically isometric to \(l_1\) and the fixed point property ⋮ A Class of Hereditarily $ell_p(c_0)$ Banach spaces ⋮ A class of hereditarily \(l_p\) Banach spaces without Schur property ⋮ A class of Banach sequence spaces analogous to the space of Popov

Cites Work

• Examples of hereditarily \(\ell ^ 1\) Banach spaces failing the Schur property
• Martingales valued in certain subspaces of \(L^1\)
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