The Banach space T and the fast growing hierarchy from logic

DOI10.1007/BF02760604zbMath0562.46009MaRDI QIDQ1056866

Steven F. Bellenot

Publication date: 1984

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

zbMATH Keywords

unconditional basisconstructionfast growing hierarchyprimitive recursive subsequencesubsymmetric basic sequenceTsirelson's Banach space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Recursive functions and relations, subrecursive hierarchies (03D20)

Related Items (5)

Tsirelson superspaces and \(\ell _ p\) ⋮ The Johnson-Lindenstrauss lemma almost characterizes Hilbert space, but not quite ⋮ Proximity to \(\ell_ 1\) and distortion in asymptotic \(\ell_ 1\) spaces ⋮ Basis problem for turbulent actions. I: Tsirelson submeasures ⋮ On Tsirelson's space

Cites Work

• On Tsirelson's space
• Uniformly non-square Banach spaces
• An example of infinite dimensional reflexive Banach space non-isomorphic to its Cartesian square
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