On bases in Banach spaces
Tomek Bartoszyński ; Mirna Džamonja ; Lorenz Halbeisen ; Eva Murtinová ; Anatolij Plichko
Studia Mathematica, Tome 166 (2005), p. 147-171 / Harvested from The Polish Digital Mathematics Library
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We investigate various kinds of bases in infinite-dimensional Banach spaces. In particular, we consider the complexity of Hamel bases in separable and non-separable Banach spaces and show that in a separable Banach space a Hamel basis cannot be analytic, whereas there are non-separable Hilbert spaces which have a discrete and closed Hamel basis. Further we investigate the existence of certain complete minimal systems in ℓ∞ as well as in separable Banach spaces.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:284564 
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     year = {2005},
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Tomek Bartoszyński; Mirna Džamonja; Lorenz Halbeisen; Eva Murtinová; Anatolij Plichko. On bases in Banach spaces. Studia Mathematica, Tome 166 (2005) pp. 147-171. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm170-2-3/