A Natural Class of Sequential Banach Spaces
Volume 59 / 2011
Bulletin Polish Acad. Sci. Math. 59 (2011), 185-196
MSC: Primary 46B45, 46B20; Secondary 46B15, 46A35.
DOI: 10.4064/ba59-2-8
Abstract
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.
