[Banach] Abstract of a paper by Pandelis Dodos

This is an announcement for the paper "Definability under duality" by Pandelis Dodos.

Abstract: It is shown that if $A$ is an analytic class of separable Banach spaces with separable dual, then the set $A^*={ Y:\exists X\in A \text{ with } Y\cong X^*}$ is analytic. The corresponding result for pre-duals is false.

Archive classification: math.FA math.LO

Mathematics Subject Classification: 03E15, 46B10

Remarks: 9 pages, no figures

The source file(s), DualsVersion-ArXiv.tex: 29048 bytes, is(are) stored in gzipped form as 0805.2036.gz with size 9kb. The corresponding postcript file has gzipped size 79kb.

Submitted from: pdodos@math.ntua.gr

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/0805.2036

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http://arXiv.org/abs/0805.2036

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uget 0805.2036

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