Families of almost disjoint Hamel bases.

Lorenz Halbeisen

Extracta Mathematicae (2005)

  • Volume: 20, Issue: 2, page 199-202
  • ISSN: 0213-8743

Abstract

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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.

How to cite

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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 -

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