This is an announcement for the paper "Constructions of sequential spaces" by Jarno Talponen.

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.

Archive classification: math.FA

Mathematics Subject Classification: 46B45; 46B20

The source file(s), lpt.tex: 33888 bytes, is(are) stored in gzipped form as 0905.0812.gz with size 10kb. The corresponding postcript file has gzipped size 78kb.

Submitted from: talponen@cc.helsinki.fi

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http://front.math.ucdavis.edu/0905.0812

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http://arXiv.org/abs/0905.0812

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