Constructions of sequential spaces

Details Constructions of sequential spaces Constructions of sequential spaces

2009-05-06

arxiv.org/abs/0905.0812v1

Mathematics

Functional Analysis

Scientific paper

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.

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