Non-separable Banach spaces with non-meager Hamel basis
Taras Banakh ; Mirna Džamonja ; Lorenz Halbeisen
Studia Mathematica, Tome 187 (2008), p. 27-34 / Harvested from The Polish Digital Mathematics Library
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We show that an infinite-dimensional complete linear space X has: ∙ a dense hereditarily Baire Hamel basis if |X| ≤ ⁺; ∙ a dense non-meager Hamel basis if |X|=κω=2κ for some cardinal κ.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:286377 
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     year = {2008},
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     zbl = {1167.46015},
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Taras Banakh; Mirna Džamonja; Lorenz Halbeisen. Non-separable Banach spaces with non-meager Hamel basis. Studia Mathematica, Tome 187 (2008) pp. 27-34. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm189-1-3/