Suppose E is fully symmetric Banach function space on (0,1) or (0,∞) or a fully symmetric Banach sequence space. We give necessary and sufficient conditions on f ∈ E so that its orbit Ω(f) is the closed convex hull of its extreme points. We also give an application to symmetrically normed ideals of compact operators on a Hilbert space.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm197-3-4,
author = {N. J. Kalton and F. A. Sukochev and D. Zanin},
title = {Orbits in symmetric spaces, II},
journal = {Studia Mathematica},
volume = {196},
year = {2010},
pages = {257-274},
zbl = {1204.46019},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm197-3-4}
}
N. J. Kalton; F. A. Sukochev; D. Zanin. Orbits in symmetric spaces, II. Studia Mathematica, Tome 196 (2010) pp. 257-274. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm197-3-4/