Constructions of sequential spaces
Functional Analysis
2009-05-07 v1
Abstract
We introduce and study certain type of variable exponent \ell^p spaces. These spaces will typically not be rearrangement-invariant but instead they enjoy a good local control of some geometric properties. We obtain some interesting examples of Banach spaces with a 1-unconditional basis.
Cite
@article{arxiv.0905.0812,
title = {Constructions of sequential spaces},
author = {Jarno Talponen},
journal= {arXiv preprint arXiv:0905.0812},
year = {2009}
}