Orbits in symmetric spaces, II
Tom 197 / 2010
Studia Mathematica 197 (2010), 257-274 MSC: 46E30, 46B70, 46B20. DOI: 10.4064/sm197-3-4
Suppose $E$ is fully symmetric Banach function space on $(0,1)$ or $(0,\infty )$ or a fully symmetric Banach sequence space. We give necessary and sufficient conditions on $f\in E$ so that its orbit $\Omega (f)$ 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.