This is an announcement for the paper "On remotality for convex sets in Banach spaces" by Miguel Martin and T.S.S.R.K. Rao.

Abstract: We show that every infinite dimensional Banach space has a closed and bounded convex set that is not remotal.

Archive classification: math.FA

Mathematics Subject Classification: Primary 46B20, Secondary 41A50

Remarks: 5 pages, to appear in the Journal of Approximation Theory

The source file(s), Arxiv-2009-09-10-nonremotal.tex: 16101 bytes, is(are) stored in gzipped form as 0909.1992.gz with size 6kb. The corresponding postcript file has gzipped size 73kb.

Submitted from: mmartins@ugr.es

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

http://front.math.ucdavis.edu/0909.1992

or

http://arXiv.org/abs/0909.1992

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

uget 0909.1992

or in gzipped form by using subject line

get 0909.1992

to: math@arXiv.org.