## 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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