A Natural Class of Sequential Banach Spaces
Jarno Talponen
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 59 (2011), p. 185-196 / Harvested from The Polish Digital Mathematics Library
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We introduce and study a natural class of variable exponent ℓp spaces, which generalizes the classical spaces ℓp and c₀. These spaces will typically not be rearrangement-invariant but instead they enjoy a good local control of some geometric properties. Some geometric examples are constructed by using these spaces.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:281133 
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Jarno Talponen. A Natural Class of Sequential Banach Spaces. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 59 (2011) pp. 185-196. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba59-2-8/