This is an announcement for the paper "On a new type concept for Banach spaces" by Robin Nittka.

Abstract: In order to measure qualitative properties we introduce a new notion of a type for arbitrary normed spaces which measures the worst possible growth of partial sums of sequences weakly converging to zero. As an application we give a new proof that certain classical Banach spaces are non-isomorphic.

Archive classification: math.FA

Mathematics Subject Classification: 46B20

Remarks: 7 pages

The source file(s), type.bbl: 1571 bytes type.tex: 27062 bytes, is(are) stored in gzipped form as 0812.2216.tar.gz with size 9kb. The corresponding postcript file has gzipped size 75kb.

Submitted from: robin.nittka@uni-ulm.de

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http://arXiv.org/abs/0812.2216

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