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Weakly null sequences in James spaces on trees

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Publication:1162679
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DOI10.2996/kmj/1138036426zbMath0482.46008OpenAlexW2024513526MaRDI QIDQ1162679

Takashi Ito, Ichiro Amemiya

Publication date: 1981

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

Full work available at URL: https://doi.org/10.2996/kmj/1138036426


zbMATH Keywords

treeJames' example of Banach space


Mathematics Subject Classification ID

Duality and reflexivity in normed linear and Banach spaces (46B10)


Related Items (6)

Banach spaces which are uniformly non-square over blocks and related properties ⋮ James space on general trees ⋮ Weak precompactness in projective tensor products ⋮ Duality for spaces of polynomials on tree spaces ⋮ Function spaces not containing \(\ell_1\) ⋮ Joint spreading models and uniform approximation of bounded operators



Cites Work

  • A Characterization of Banach Spaces Containing l 1
  • Examples of separable spaces which do not contain $l_{1}$ and whose duals are non-separable
  • A separable somewhat reflexive Banach space with nonseparable dual
  • A Non-Reflexive Banach Space Isometric With Its Second Conjugate Space


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