Indecomposability and unconditionality in duality
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Publication:1889808
DOI10.1007/s00039-004-0464-9zbMath1069.46002OpenAlexW2015412153MaRDI QIDQ1889808
Spiros A. Argyros, Andreas G. Tolias
Publication date: 13 December 2004
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00039-004-0464-9
Banach spacehereditarily indecomposableunconditional basic sequenceunconditionally saturatedGowers' dichotomy theorem
Isomorphic theory (including renorming) of Banach spaces (46B03) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)
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On the solution of the scalar-plus-compact problem by Argyros and Haydon ⋮ A class of Banach spaces with no unconditional basic sequence ⋮ Extracting long basic sequences from systems of dispersed vectors ⋮ Hereditarily indecomposable Banach algebras of diagonal operators ⋮ A hereditarily indecomposable \(\mathcal L_{\infty}\)-space that solves the scalar-plus-compact problem ⋮ On the hereditary proximity to \(\ell _{1}\)
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