[Banach] Abstract of a paper by Hadi Haghshenas

This is an announcement for the paper "Differentiability of Banach spaces via constructible sets" by Hadi Haghshenas.

Abstract: the main goal of this paper is to prove that any Banach space X , that every dual ball in X** is weak* separable, or every weak* closed convex subset in X**is weak* separable , or every norm-closed convex set in X* is constructible, admits an equivalent Frechet differentiable norm.

Archive classification: math.FA

Mathematics Subject Classification: 46B20

Remarks: 5 pages

The source file(s), DIFFERENTIABILITYOFBANACHSPACESVIACONSTRUCTIBLESETS.tex: 12164 bytes, is(are) stored in gzipped form as 0810.0586.gz with size 5kb. The corresponding postcript file has gzipped size 43kb.

Submitted from: h_haghshenas60@yahoo.com

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

http://front.math.ucdavis.edu/0810.0586

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http://arXiv.org/abs/0810.0586

or by email in unzipped form by transmitting an empty message with subject line

uget 0810.0586

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get 0810.0586

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