[Banach] Abstract of a paper by Dmitry B. Rokhlin

This is an announcement for the paper "Kreps-Yan theorem for Banach ideal spaces" by Dmitry B. Rokhlin.

Abstract: Let $C$ be a closed convex cone in a Banach ideal space $X$ on a measurable space with a $\sigma$-finite measure. We prove that conditions $C\cap X_+={0}$ and $C\supset -X_+$ imply the existence of a strictly positive continuous functional on $X$, whose restriction to $C$ is non-positive.

Archive classification: math.FA

Mathematics Subject Classification: 46E30; 46B42

Remarks: 6 pages

The source file(s), RokhlinKreps-Yantheoremforbanachidealspaceseng.tex: 18929 bytes, is(are) stored in gzipped form as 0804.2075.gz with size 7kb. The corresponding postcript file has gzipped size 73kb.

Submitted from: rokhlin@math.rsu.ru

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

http://front.math.ucdavis.edu/0804.2075

or

http://arXiv.org/abs/0804.2075

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

uget 0804.2075

or in gzipped form by using subject line

get 0804.2075

to: math@arXiv.org.