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Examples of hereditarily \(\ell ^ 1\) Banach spaces failing the Schur property. (English) Zbl 0609.46012

The authors construct a class of separable Banach sequence spaces which are hereditarily \(\ell^ 1\) dual spaces but fail the Schur property and are of codimension one in their first Baire class. Other properties are given.
Reviewer: J.Howard

MSC:

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