Geodesic
A Natural Class of Sequential Banach Spaces
Jarno Talponen 1
1 Aalto University, Mathematics P.O. Box 11100, FI-00076 Aalto, Finland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 59 (2011) no. 2, pp. 185-196 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We introduce and study a natural class of variable exponent $\ell ^{p}$ spaces, which generalizes the classical spaces $\ell ^{p}$ and $c_{0}$. 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.
DOI : 10.4064/ba59-2-8
Keywords: introduce study natural class variable exponent ell spaces which generalizes classical spaces ell these spaces typically rearrangement invariant instead enjoy local control geometric properties geometric examples constructed using these spaces

Jarno Talponen  1

1 Aalto University, Mathematics P.O. Box 11100, FI-00076 Aalto, Finland 
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Jarno Talponen. A Natural Class of Sequential Banach Spaces. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 59 (2011) no. 2, pp. 185-196. doi: 10.4064/ba59-2-8

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