Transfinite Duals of Quasireflexive Banach Spaces

DOI10.2307/1999928zbMath0494.46014OpenAlexW4234134357MaRDI QIDQ3957433

Steven F. Bellenot

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1999928

zbMATH Keywords

James spacesubsymmetric basisneighborly basisJames function spaceinvariant under spreadinginversion of a basistransfinite duals of certain quasi-reflexive spaces

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (5)

Metric Characterizations of Some Classes of Banach Spaces ⋮ Function spaces not containing \(\ell_1\) ⋮ The J-sum of Banach spaces ⋮ James quasi reflexive space has the fixed point property ⋮ Duaux transfinis

Cites Work

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• A General Construction of Spaces of the Type of R. C. James
• Examples of separable spaces which do not contain $l_{1}$ and whose duals are non-separable
• Banach spaces quasi-reflexive of order one
• TRANSFINITE DUALS OF BANACH SPACES AND ERGODIC SUPER-PROPERTIES EQUIVALENT TO SUPEREFLEXIVITY

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