A class of hereditarily \(l_p\) Banach spaces without Schur property

DOI10.1007/S40995-017-0249-2zbMath1391.46019OpenAlexW2766061922MaRDI QIDQ724953

Alireza Ahmadi

Publication date: 26 July 2018

Published in: Iranian Journal of Science and Technology. Transaction A: Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40995-017-0249-2

zbMATH Keywords

Banach spacesSchur property\(l_1\)hereditarily

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) Geometry and structure of normed linear spaces (46B20)

Related Items (1)

A Class of Hereditarily $ell_p(c_0)$ Banach spaces

Cites Work

• Examples of hereditarily \(\ell ^ 1\) Banach spaces failing the Schur property
• A class of Banach sequence spaces analogous to the space of Popov
• A hereditarily ℓ₁ subspace of 𝐿₁ without the Schur property
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