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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 A ∩ B is smaller than the cardinality of either A or B.
Halbeisen, Lorenz. "Families of almost disjoint Hamel bases.." Extracta Mathematicae 20.2 (2005): 199-202. <http://eudml.org/doc/38786>.
@article{Halbeisen2005, abstract = {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 A ∩ B is smaller than the cardinality of either A or B.}, author = {Halbeisen, Lorenz}, journal = {Extracta Mathematicae}, keywords = {cardinality of Banach space; normalized Hamel bases}, language = {eng}, number = {2}, pages = {199-202}, title = {Families of almost disjoint Hamel bases.}, url = {http://eudml.org/doc/38786}, volume = {20}, year = {2005}, }
TY - JOUR AU - Halbeisen, Lorenz TI - Families of almost disjoint Hamel bases. JO - Extracta Mathematicae PY - 2005 VL - 20 IS - 2 SP - 199 EP - 202 AB - 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 A ∩ B is smaller than the cardinality of either A or B. LA - eng KW - cardinality of Banach space; normalized Hamel bases UR - http://eudml.org/doc/38786 ER -