Examples of hereditarily \(\ell ^ 1\) Banach spaces failing the Schur property

DOI10.2140/pjm.1986.122.287zbMath0609.46012OpenAlexW2018899786MaRDI QIDQ1086786

James N. Hagler, Parviz Azimi

Publication date: 1986

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1986.122.287

zbMATH Keywords

Schur propertyhereditarily \(\ell ^ 1\) dual spacesseparable Banach sequence spaces

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25)

Related Items (14)

A Class of Hereditarily $ell_p(c_0)$ Banach spaces ⋮ On strongly WCG Banach spaces ⋮ Weakly compact approximation in Banach spaces ⋮ Extensions of smooth mappings into biduals and weak continuity ⋮ Analytic P-ideals and Banach spaces ⋮ RELATIONS BETWEEN TWO CLASSES OF FUNCTIONS ⋮ Strongly Generated Banach Spaces and Measures of Noncompactness ⋮ A hereditarily ℓ₁ subspace of 𝐿₁ without the Schur property ⋮ On the classes of hereditarily ℓp 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 ⋮ Further properties of Azimi-Hagler banach spaces ⋮ On the surjective Dunford-Pettis property ⋮ A ξ-weak Grothendieck compactness principle

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