abstract
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Families of almost disjoint Hamel bases

Lorenz Halbeisen

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For infinite dimensional
Banach spaces *X* we investigate the maximal size of a family of pairwise
almost disjoint normalized Hamel bases of *X*, where
two sets *A* and *B* are said to be almost disjoint
if the cardinality of their intersection is smaller
than the cardinality of either *A* or *B*.